Publications: Prof Michael Ruzhansky

Khompysh K, Ruzhansky M ( 2025 ) . Inverse source problems for time-fractional nonlinear pseudoparabolic equations with p-Laplacian . Fractional Calculus and Applied Analysis1 - 31 .

Ruzhansky M, Sabitbek B ( 2025 ) . Hardy and Rellich Inequalities with Bessel Pairs . Proceedings of the Edinburgh Mathematical Society1 - 18 .

CARDONA D, RUZHANSKY M ( 2025 ) . Hörmander condition for pseudo-multipliers associated to the harmonic oscillator . Hokkaido Mathematical Journal vol. 54 , ( 1 ) 1 - 51 .

Kumar M, Kumar V, Ruzhansky M ( 2025 ) . Titchmarsh theorems on Damek–Ricci spaces via moduli of continuity of higher order . International Journal of Mathematics vol. 36 , ( 06 )

Ruzhansky M, Yimer MF ( 2025 ) . Levin–Cochran–Lee inequalities and best constants on homogeneous groups . Aequationes mathematicae1 - 21 .

Kumar V, Rottensteiner D, Ruzhansky M ( 2025 ) . Preface . Trends in Mathematics vol. 8 , v - vii .

Shaimardan S, Karimov E, Ruzhansky M, Mamanazarov A ( 2025 ) . The Prabhakar fractional q-integral and q-differential operators, and their properties . Filomat vol. 39 , ( 6 ) 2003 - 2016 .

Kowacs A, Ruzhansky M ( 2024 ) . Lieb–Thirring inequalities on the spheres and SO(3) . Analysis and Mathematical Physics vol. 14 , ( 6 ) 131 - 131 .

Cobos SG, Restrepo JE, Ruzhansky M ( 2024 ) . $L^p-L^q$ estimates for non-local heat and wave type equations on locally compact groups . Comptes Rendus Mathématique vol. 362 , ( G11 ) 1331 - 1336 .

Dasgupta A, Ruzhansky M, Tushir A ( 2024 ) . Global well‐posedness of space‐time fractional diffusion equation with Rockland operator on graded lie group . Mathematical Methods in the Applied Sciences vol. 48 , ( 4 ) 4904 - 4923 .

Zhang R, Kumar V, Ruzhansky M ( 2024 ) . Liouville-type theorem for higher order Hardy-Hénon type systems on the sphere . Journal of Mathematical Analysis and Applications vol. 543 , ( 2 ) 129029 - 129029 .

Chatzakou M, Ruzhansky M ( 2024 ) . Revised logarithmic Sobolev inequalities of fractional order . Bulletin des Sciences Mathématiques vol. 197 , 103530 - 103530 .

Kumar V, Ruzhansky M, Zhang R ( 2024 ) . Liouville type theorems for subelliptic systems on the Heisenberg group with general nonlinearity . Annales Fennici Mathematici vol. 49 , ( 2 )

Cardona D, Delgado J, Ruzhansky M ( 2024 ) . Estimates for Sums of Eigenfunctions of Elliptic Pseudo-differential Operators on Compact Lie Groups . The Journal of Geometric Analysis vol. 34 , ( 12 )

Borikhanov MB, Ruzhansky M, Torebek BT ( 2024 ) . The Fujita exponent for a semilinear heat equation with forcing term on Heisenberg group . Mathematical Methods in the Applied Sciences vol. 48 , ( 3 ) 3794 - 3810 .

Ruzhansky M, Yeskermessuly A ( 2024 ) . Heat equation for Sturm–Liouville operator with singular propagation and potential . Journal of Applied Analysis vol. 0 , ( 0 )

Restrepo JE, Ruzhansky M, Torebek BT ( 2024 ) . Integro-differential diffusion equations on graded Lie groups . Asymptotic Analysis1 - 20 .

Ruzhansky M, Sebih ME, Tokmagambetov N ( 2024 ) . Fractional wave equation with irregular mass and dissipation . Zeitschrift für angewandte Mathematik und Physik vol. 75 , ( 5 ) 184 - 184 .

Ikromov IA, Ruzhansky M, Safarov AR ( 2024 ) . Oscillatory integrals for Mittag-Leffler functions with two variables . Comptes Rendus Mathématique vol. 362 , ( G7 ) 789 - 798 .

Kassymov A, Ruzhansky M, Suragan D ( 2024 ) . Fractional Hardy-type inequalities on homogeneous Lie groups in the case Q<sp . Illinois Journal of Mathematics vol. 68 , ( 3 )

Cardona D, Duduchava R, Hendrickx A, Ruzhansky M ( 2024 ) . Generic Bessel Potential Spaces on Lie Groups . Tbilisi Analysis and PDE Seminar , vol. 7 , Springer Nature

Dasgupta A, Mondal SS, Ruzhansky M, Tushir A ( 2024 ) . Time-fractional discrete diffusion equation for Schrödinger operator . Fractional Calculus and Applied Analysis vol. 27 , ( 6 ) 3208 - 3239 .

Ghosh A, Ruzhansky M ( 2024 ) . Sparse bounds for oscillating multipliers on stratified groups . Monatshefte für Mathematik1 - 19 .

Serikbaev D, Ruzhansky M, Tokmagambetov N ( 2024 ) . Heat source determining inverse problem for nonlocal in time equation . Mathematical Methods in the Applied Sciences

Kassymov A, Ruzhansky M, Zaur G ( 2024 ) . On fractional inequalities on metric measure spaces with polar decomposition . Forum Mathematicum vol. 0 , ( 0 )

Botchway LNA, Chatzakou M, Ruzhansky M ( 2024 ) . Semi-classical Pseudo-differential Operators on ħZn and Applications . Journal of Fourier Analysis and Applications vol. 30 , ( 4 )

Ruzhansky M, Cardona D, Delgado J ( 2024 ) . Well-posedness for a class of pseudo-differential hyperbolic equations on the torus . Aequationes Mathematicae

Chatzakou M, Kassymov A, Ruzhansky M ( 2024 ) . Logarithmic Sobolev inequalities on Lie groups . The Journal of Geometric Analysis

Ruzhansky M, Torebek BT ( 2024 ) . Van der Corput lemmas for Mittag-Leffler functions. I . Zeitschrift für Analysis und ihre Anwendungen vol. 43 , ( 3 ) 349 - 376 .

Cardona D, Delgado J, Ruzhansky M ( 2024 ) . Boundedness of the dyadic maximal function on graded Lie groups . The Quarterly Journal of Mathematics vol. 75 , ( 3 ) 809 - 834 .

Ruzhansky M, DASGUPTA A, KUMAR V, Mondal SS ( 2024 ) . Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order . Journal of Evolution Equations

Cardona D, Federico S, Ruzhansky M ( 2024 ) . Subelliptic sharp Gårding inequality on compact Lie groups . Pure and Applied Analysis vol. 6 , ( 2 ) 455 - 485 .

Ruzhansky M, Yessirkegenov N ( 2024 ) . Hardy–Sobolev–Rellich, Hardy–Littlewood–Sobolev and Caffarelli–Kohn–Nirenberg Inequalities on General Lie Groups . The Journal of Geometric Analysis vol. 34 , ( 7 )

Federico S, Ruzhansky M ( 2024 ) . Smoothing and Strichartz estimates for degenerate Schrödinger-type equations . Nonlinear Analysis vol. 242 ,

Ruzhansky M, KASSYMOV A, KUMAR V ( 2024 ) . Functional inequalities on symmetric spaces of noncompact type and applications . The Journal of Geometric Analysis

Ruzhansky M, Yessirkegenov N ( 2024 ) . Hypoelliptic functional inequalities . Mathematische Zeitschrift vol. 307 , ( 2 )

Zhang R, Kumar V, Ruzhansky M ( 2024 ) . A direct method of moving planes for logarithmic Schrödinger operator . Zeitschrift für Analysis und ihre Anwendungen vol. 43 , ( 3 ) 287 - 297 .

Ruzhansky M, Yeskermessuly A ( 2024 ) . Schrödinger equation for Sturm–Liouville operator with singular propagation and potential . Zeitschrift für Analysis und ihre Anwendungen vol. 44 , ( 1 ) 97 - 120 .

Wang X, Nõmm S, Huang J, Chatzakou M, Ruzhansky M ( 2024 ) . An Efficient Neural Network for the Diagnosis of Parkinson’s Disease Using Dynamic Handwriting Analysis . Extended Abstracts MWCAPDE 2023 , vol. 1 , Springer Nature

Chatzakou M, Huang J, Parakhonskiy BV, Ruzhansky M, Skirtach AG, Song J, Wang X ( 2024 ) . Performing Particle Image Segmentation on an Extremely Small Dataset . Extended Abstracts 2021/2022 , vol. 2 , Springer Nature

Ruzhansky M, Shaimardan S, Yeskermessuly A ( 2024 ) . Wave equation for Sturm-Liouville operator with singular potentials . Journal of Mathematical Analysis and Applications vol. 531 , ( 1 )

Wang X, Huang J, Chatzakou M, Medijainen K, Toomela A, Nõmm S, Ruzhansky M ( 2024 ) . LSTM-CNN: An efficient diagnostic network for Parkinson's disease utilizing dynamic handwriting analysis . Computer Methods and Programs in Biomedicine108066 - 108066 .

Fino AZ, Ruzhansky M, Torebek BT ( 2024 ) . Fujita-type results for the degenerate parabolic equations on the Heisenberg groups . Nonlinear Differential Equations and Applications NoDEA vol. 31 , ( 2 ) 19 - 19 .

Ruzhansky M, Shriwastawa A, Tiwari B ( 2024 ) . Hardy inequalities on metric measure spaces, IV: The case p=1 . Forum Mathematicum vol. 36 , ( 6 ) 1603 - 1611 .

Avetisyan Z, Ruzhansky M ( 2024 ) . Publisher Correction: A NOTE ON THE POLAR DECOMPOSITION IN METRIC SPACES . Journal of Mathematical Sciences vol. 280 , ( 1 ) 83 - 83 .

Roychowdhury P, Ruzhansky M, Suragan D ( 2024 ) . Multidimensional Frank–Laptev–Weidl improvement of the Hardy inequality . Proceedings of the Edinburgh Mathematical Society1 - 17 .

Cardona D, Delgado J, Ruzhansky M ( 2024 ) . A Note on the Local Weyl Formula on Compact Lie Groups . Journal of Lie Theory vol. 34 , ( 1 ) 237 - 248 .

Chatzakou M, Kassymov A, Ruzhansky M ( 2024 ) . ANISOTROPIC SHANNON INEQUALITY . Osaka Journal of Mathematics vol. 61 , ( 1 ) 79 - 89 .

Wang X, Huang J, Chatzakou M, Nõmm S, Valla E, Medijainen K, Taba P, Toomela A et al. ( 2024 ) . Comparison of one- two- and three-dimensional CNN models for drawing-test-based diagnostics of the Parkinson’s disease . Biomedical Signal Processing and Control vol. 87 ,

Shaimardan S, Ruzhansky M ( 2024 ) . Direct and inverse source problems for heat equation in quantum calculus . Filomat vol. 38 , ( 23 ) 8141 - 8156 .

Fischer V, Rottensteiner D, Ruzhansky M ( 2024 ) . Heisenberg-Modulation Spaces at the Crossroads of Coorbit Theory and Decomposition Space Theory . Journal of Lie Theory vol. 34 , ( 1 ) 51 - 92 .

Borikhanov MB, Ruzhansky M, Torebek BT ( 2024 ) . Instantaneous blow-up solutions for nonlinear Sobolev-type equations on the Heisenberg groups . Discrete and Continuous Dynamical Systems - S vol. 0 , ( 0 ) 0 - 0 .

Cardona D, Restrepo J, Ruzhansky M ( 2024 ) . Preface . Trends in Mathematics vol. 3 , v - vii .

Zhang R, Kumar V, Ruzhansky M ( 2023 ) . Symmetry of Positive Solutions for Lane-Emden Systems Involving the Logarithmic Laplacian . Acta Applicandae Mathematicae vol. 188 , ( 1 ) 16 - 16 .

Avetisyan Z, Ruzhansky M ( 2023 ) . A NOTE ON THE POLAR DECOMPOSITION IN METRIC SPACES . Journal of Mathematical Sciences vol. 280 , ( 1 ) 73 - 82 .

Ruzhansky M, Abolarinwa A ( 2023 ) . Generalised hard type and Rellich type inequalities on Heisenberg Group’ . Journal of Pseudo-Differential Operators and Applications

Ruzhansky M, Shriwastawa A, Tiwari BANKTESHWAR ( 2023 ) . A note on best constants for Weighted Integral Hardy inequalities on homogeneous groups’ . Results in Mathematics

Kassymov A, Ragusa MA, Ruzhansky M, Suragan D ( 2023 ) . Stein-Weiss-Adams inequality on Morrey spaces . Journal of Functional Analysis vol. 285 , ( 11 )

Ruzhansky M, Kumar V, Restrepo J ( 2023 ) . Asymptotic estimates for the growth of deformed Hankel transform by modulus of continuity . Results in Mathematics

Restrepo JE, Ruzhansky M, Suragan D ( 2023 ) . Generalized fractional Dirac type operators . Fractional Calculus and Applied Analysis vol. 26 , ( 6 ) 2720 - 2756 .

KUMAR V, RUZHANSKY M ( 2023 ) . – MULTIPLIERS ON COMMUTATIVE HYPERGROUPS . Journal of the Australian Mathematical Society vol. 115 , ( 3 ) 375 - 395 .

Ruzhansky M, Yeskermessuly A ( 2023 ) . Wave Equation for Sturm–Liouville Operator with Singular Intermediate Coefficient and Potential . Bulletin of the Malaysian Mathematical Sciences Society vol. 46 , ( 6 ) 195 - 195 .

Chatzakou M, Dasgupta A, Ruzhansky M, Tushir A ( 2023 ) . Discrete heat equation with irregular thermal conductivity and tempered distributional data . Proceedings of the Royal Society of Edinburgh Section A Mathematics1 - 24 .

Ruzhansky M, Sabitbek B ( 2023 ) . Blow-up solutions of damped Klein–Gordon equation on the Heisenberg group . European Journal of Mathematics vol. 9 , ( 3 )

Cardona D, Ruzhansky M ( 2023 ) . Littlewood-Paley Theorem, Nikolskii Inequality, Besov Spaces, Fourier and Spectral Multipliers on Graded Lie Groups . Potential Analysis vol. 60 , ( 3 ) 965 - 1005 .

Wang X, Huang J, Chatzakou M, Medijainen K, Taba P, Toomela A, Nõmm S, Ruzhansky M ( 2023 ) . A Light-weight CNN Model for Efficient Parkinson's Disease Diagnostics . Conference: 2023 IEEE 36th International Symposium on Computer-Based Medical Systems (CBMS) vol. 00 , 616 - 621 .

Ruzhansky M, Sebih ME, Tokmagambetov N ( 2023 ) . Schrödinger equation with singular position dependent mass . Zeitschrift für Analysis und ihre Anwendungen vol. 42 , ( 1 ) 131 - 144 .

Sánchez DC, Kumar V, Ruzhansky M, Tokmagambetov N ( 2023 ) . Global functional calculus, lower/upper bounds and evolution equations on manifolds with boundary . Advances in Operator Theory vol. 8 , ( 3 )

Ghosh S, Kumar V, Ruzhansky M ( 2023 ) . Compact embeddings, eigenvalue problems, and subelliptic Brezis–Nirenberg equations involving singularity on stratified Lie groups . Mathematische Annalen vol. 388 , ( 4 ) 4201 - 4249 .

Huang J, Ruzhansky M, Zhang Q, Wang H ( 2023 ) . Intrinsic Image Transfer for Illumination Manipulation . IEEE Transactions on Pattern Analysis and Machine Intelligence vol. 45 , ( 6 ) 7444 - 7456 .

Cardona D, Ruzhansky M ( 2023 ) . Boundedness of pseudo-differential operators in subelliptic Sobolev and Besov spaces on compact Lie groups . Complex Variables and Elliptic Equations vol. 69 , ( 7 ) 1049 - 1082 .

Rottensteiner D, Ruzhansky M ( 2023 ) . An update on the Lp-Lq norms of spectral multipliers on unimodular Lie groups . Archiv der Mathematik vol. 120 , ( 5 ) 507 - 520 .

Huang J, Wang H, Wang X, Ruzhansky M ( 2023 ) . Semi-Sparsity for Smoothing Filters . IEEE Transactions on Image Processing vol. 32 , 1627 - 1639 .

de Moraes WAA, Restrepo JE, Ruzhansky M ( 2023 ) . Heat- and Wave-Type Equations with Nonlocal Operators, I. Compact Lie Groups . International Mathematics Research Notices vol. 2024 , ( 2 ) 1299 - 1328 .

Kassymov A, Ruzhansky M, Torebek BT ( 2023 ) . Rayleigh–Faber–Krahn, Lyapunov and Hartmann–Wintner Inequalities for Fractional Elliptic Problems . Mediterranean Journal of Mathematics vol. 20 , ( 3 )

Chatzakou M, Restrepo JE, Ruzhansky M ( 2023 ) . Heat and wave type equations with non-local operators, II. Hilbert spaces and graded Lie groups .

Kassymov A, Ruzhansky M, Suragan D ( 2023 ) . Hardy inequalities on metric measure spaces, III: the case q p 0 and applications . Proceedings of the Royal Society A vol. 479 , ( 2269 )

Wang X, Huang H, Chatzakou M, Medijainen K, Taba P, Toomela A, Nomm S, Ruzhansky M ( 2023 ) . A Light-weight CNN Model for Efficient Parkinson's Disease Diagnostics . 2023 IEEE 36TH INTERNATIONAL SYMPOSIUM ON COMPUTER-BASED MEDICAL SYSTEMS, CBMS . 616 - 621 .

Cardona D, Delgado J, Grajales B, Ruzhansky M ( 2023 ) . Control of the Cauchy problem on Hilbert spaces: A global approach via symbol criteria . Communications on Pure and Applied Analysis vol. 22 , ( 11 ) 3295 - 3329 .

Cardona D, Ruzhansky M ( 2022 ) . Oscillating singular integral operators on compact Lie groups revisited . Mathematische Zeitschrift vol. 303 , ( 2 )

Borikhanov MB, Ruzhansky M, Torebek BT ( 2022 ) . Qualitative properties of solutions to a nonlinear time-space fractional diffusion equation . Fractional Calculus and Applied Analysis vol. 26 , ( 1 ) 111 - 146 .

Hong Q, Hu G, Ruzhansky M ( 2022 ) . Fourier multipliers for Hardy spaces on graded Lie groups . Proceedings of the Royal Society of Edinburgh Section A: Mathematics1 - 22 .

Rottensteiner D, Ruzhansky M ( 2022 ) . Harmonic and anharmonic oscillators on the Heisenberg group . Journal of Mathematical Physics vol. 63 , ( 11 )

Chatzakou M, Delgado J, Ruzhansky M ( 2022 ) . On a class of anharmonic oscillators II. General case . Bulletin des Sciences Mathématiques vol. 180 ,

Cardona D, Delgado J, Ruzhansky M ( 2022 ) . Drift diffusion equations with fractional diffusion on compact Lie groups . Journal of Evolution Equations vol. 22 , ( 4 )

Ruzhansky M, Safarov AR, Khasanov GA ( 2022 ) . Uniform estimates for oscillatory integrals with homogeneous polynomial phases of degree 4 . Analysis and Mathematical Physics vol. 12 , ( 6 )

Akylzhanov R, Kuznetsova Y, Ruzhansky M, Zhang H ( 2022 ) . Norms of certain functions of a distinguished Laplacian on the $ax+b$ groups . Mathematische Zeitschrift

Akylzhanov R, Kuznetsova Y, Ruzhansky M, Zhang H ( 2022 ) . Norms of certain functions of a distinguished Laplacian on the ax+b groups . Mathematische Zeitschrift vol. 302 , ( 4 ) 2327 - 2352 .

Cardona D, Ruzhansky M ( 2022 ) . Björk–Sjölin condition for strongly singular convolution operators on graded Lie groups . Mathematische Zeitschrift vol. 302 , ( 4 ) 1957 - 1981 .

Ruzhansky M, Torebek BT, Turmetov B ( 2022 ) . Well-posedness of Tricomi–Gellerstedt–Keldysh-type fractional elliptic problems . Journal of Integral Equations and Applications vol. 34 , ( 3 )

Cardona D, Delgado J, Ruzhansky M ( 2022 ) . Determinants and Plemelj-Smithies formulas . Monatshefte für Mathematik vol. 199 , ( 3 ) 459 - 482 .

Kassymov A, Ruzhansky M, Suragan D ( 2022 ) . Anisotropic Fractional Gagliardo-Nirenberg, Weighted Caffarelli-Kohn-Nirenberg and Lyapunov-type Inequalities, and Applications to Riesz Potentials and p-sub-Laplacian Systems . Potential Analysis vol. 59 , ( 4 ) 1971 - 1994 .

Kassymov A, Ruzhansky M, Suragan D ( 2022 ) . Reverse Stein–Weiss, Hardy–Littlewood–Sobolev, Hardy, Sobolev and Caffarelli–Kohn–Nirenberg inequalities on homogeneous groups . Forum Mathematicum vol. 34 , ( 5 ) 1147 - 1158 .

Cardona D, Ruzhansky M ( 2022 ) . Sharpness of Seeger-Sogge-Stein orders for the weak (1,1) boundedness of Fourier integral operators . Archiv der Mathematik vol. 119 , ( 2 ) 189 - 198 .

Karimov E, Ruzhansky M, Toshtemirov B ( 2022 ) . Solvability of the boundary‐value problem for a mixed equation involving hyper‐Bessel fractional differential operator and bi‐ordinal Hilfer fractional derivative . Mathematical Methods in the Applied Sciences vol. 46 , ( 1 ) 54 - 70 .

Ruzhansky M, Sabitbek B, Torebek B ( 2022 ) . Global existence and blow-up of solutions to porous medium equation and pseudo-parabolic equation, I. Stratified groups . manuscripta mathematica vol. 171 , ( 3-4 ) 377 - 395 .

Chatzakou M, Ruzhansky M, Tokmagambetov N ( 2022 ) . The Heat Equation with Singular Potentials. II: Hypoelliptic Case . Acta Applicandae Mathematicae vol. 179 , ( 1 )

Chatzakou M, Ruzhansky M, Tokmagambetov N ( 2022 ) . Fractional Schrödinger equations with singular potentials of higher order. II: Hypoelliptic case . Reports on Mathematical Physics

Cardona D, Ruzhansky M ( 2022 ) . Oscillating singular integral operators on compact Lie groups revisited .

Dasgupta A, Ruzhansky M, Tushir A ( 2022 ) . Discrete time-dependent wave equations I. Semiclassical analysis . Journal of Differential Equations

Ruzhansky M, Yessirkegenov N ( 2022 ) . A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups . Nonlinear Analysis vol. 215 ,

Cardona D, Ruzhansky M ( 2022 ) . Boundedness of oscillating singular integrals on Lie groups of polynomial growth .

Cardona D, Ruzhansky M ( 2022 ) . Oscillating singular integral operators on graded Lie groups revisited .

Kirilov A, de Moraes WAA, Ruzhansky M ( 2022 ) . Global properties of vector fields on compact Lie groups in Komatsu classes. II. Normal forms . Communications on Pure and Applied Analysis vol. 21 , ( 11 ) 3919 - 3940 .

Kumar V, Ruzhansky M ( 2022 ) . HARDY-LITTLEWOOD INEQUALITY AND Lp-Lq FOURIER MULTIPLIERS ON COMPACT HYPERGROUPS . Journal of Lie Theory

Ruzhansky M, Wirth J ( 2022 ) . Preface .

Kassymov A, Ruzhansky M, Suragan D ( 2021 ) . Reverse integral Hardy inequality on metric measure spaces . Annales Fennici Mathematici vol. 47 , ( 1 ) 39 - 55 .

Chatzakou M, Delgado J, Ruzhansky M ( 2021 ) . On a class of anharmonic oscillators II. General case .

Ruzhansky M, Yessirkegenov N ( 2021 ) . Existence and non-existence of global solutions for semilinear heat equations and inequalities on sub-Riemannian manifolds, and Fujita exponent on unimodular Lie groups . Journal of Differential Equations

Cardona D, Delgado J, Ruzhansky M ( 2021 ) . Analytic functional calculus and Gårding inequality on graded Lie groups with applications to diffusion equations .

Ruzhansky M, Yessirkegenov N ( 2021 ) . Hardy, weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg type inequalities on Riemannian manifolds with negative curvature . Journal of Mathematical Analysis and Applications

Chatzakou M, Ruzhansky M, Tokmagambetov N ( 2021 ) . The heat equation with singular potentials. II: Hypoelliptic case .

Kirilov A, de Moraes WAA, Ruzhansky M ( 2021 ) . Global Properties of Vector Fields on Compact Lie Groups in Komatsu Classes . Zeitschrift für Analysis und ihre Anwendungen vol. 40 , ( 4 ) 425 - 451 .

Kumar V, Ruzhansky M ( 2021 ) . L p -Lq Boundedness of (k, a)-Fourier Multipliers with Applications to Nonlinear Equations . International Mathematics Research Notices vol. 2023 , ( 2 ) 1073 - 1093 .

Cardona D, Ruzhansky M ( 2021 ) . Fourier multipliers for Triebel–Lizorkin spaces on compact Lie groups . Collectanea Mathematica vol. 73 , ( 3 ) 477 - 504 .

Kassymov A, Ruzhansky M, Tokmagambetov N, Torebek BT ( 2021 ) . Liouville theorems for Kirchhoff-type hypoelliptic Partial Differential Equations and systems. I. Heisenberg group .

Cardona D, Federico S, Ruzhansky M ( 2021 ) . Subelliptic sharp Gårding inequality on compact Lie groups .

Ruzhansky M, Yessirkegenov N ( 2021 ) . Critical Gagliardo–Nirenberg, Trudinger, Brezis–Gallouet–Wainger inequalities on graded groups and ground states . Communications in Contemporary Mathematics vol. 24 , ( 08 )

Delgado J, Ruzhansky M ( 2021 ) . Schatten-von Neumann classes of integral operators . Journal de Mathematiques Pures et Appliquees

Restrepo JE, Ruzhansky M, Suragan D ( 2021 ) . Explicit solutions for linear variable–coefficient fractional differential equations with respect to functions . Applied Mathematics and Computation vol. 403 ,

Ruzhansky M, Velasquez‐Rodriguez JP ( 2021 ) . Non‐harmonic Gohberg's lemma, Gershgorin theory and heat equation on manifolds with boundary . Mathematische Nachrichten vol. 294 , ( 9 ) 1783 - 1820 .

Kumar V, Ruzhansky M ( 2021 ) . $L^p$-$L^q$ Multipliers on commutative hypergroups .

Kumar V, Ruzhansky M ( 2021 ) . Titchmarsh theorems, Hausdorff-Young-Paley inequality and $L^p$-$L^q$ boundedness of Fourier multipliers on harmonic $NA$ groups .

Ruzhansky M, Serikbaev D, Torebek BT, Tokmagambetov N ( 2021 ) . Direct and inverse problems for time-fractional pseudo-parabolic equations . Quaestiones Mathematicae vol. 45 , ( 7 ) 1071 - 1089 .

Dasgupta A, Ruzhansky M ( 2021 ) . Correction to: Eigenfunction Expansions of Ultradifferentiable Functions and Ultradistributions. III. Hilbert Spaces and Universality . Journal of Fourier Analysis and Applications vol. 27 , ( 4 )

Chatzakou M, Delgado J, Ruzhansky M ( 2021 ) . On a class of anharmonic oscillators . Journal de Mathematiques Pures et Appliquees

Chatzakou M, Ruzhansky M, Tokmagambetov N ( 2021 ) . Fractional Klein-Gordon equation with singular mass. II: Hypoelliptic case . Complex Variables and Elliptic Equations: an international journal

Chatzakou M, Kassymov A, Ruzhansky M ( 2021 ) . Logarithmic Hardy-Rellich inequalities on Lie groups .

Ruzhansky M, Torebek BT, Turmetov BK ( 2021 ) . Well-posedness of Tricomi-Gellerstedt-Keldysh-type fractional elliptic problems . Journal of Integral Equations and Applications, 2022

Huang J, Ruzhansky M, Zhang Q, Wang H ( 2021 ) . Intrinsic Image Transfer for Illumination Manipulation .

Huang J, Wang H, Wang X, Ruzhansky M ( 2021 ) . Semi-Sparsity for Smoothing Filters .

Chatzakou M, Kassymov A, Ruzhansky M ( 2021 ) . Anisotropic Shannon inequality .

Ruzhansky M, Torebek BT ( 2021 ) . Van der Corput lemmas for Mittag-Leffler functions. II. $α$-directions . Bulletin des Sciences Mathematiques

Altybay A, Ruzhansky M, Sebih ME, Tokmagambetov N ( 2021 ) . The heat equation with strongly singular potentials . Applied Mathematics and Computation vol. 399 ,

Bin-Saad MG, Hasanov A, Ruzhansky M ( 2021 ) . Some properties relating to the Mittag–Leffler function of two variables . Integral Transforms and Special Functions

Ruzhansky M, Verma D ( 2021 ) . Hardy inequalities on metric measure spaces, II: the case p>q . Proceedings of the Royal Society A vol. 477 , ( 2250 )

Cardona D, Delgado J, Ruzhansky M ( 2021 ) . Dixmier traces, Wodzicki residues, and determinants on compact Lie groups: the paradigm of the global quantisation .

Rottensteiner D, Ruzhansky M ( 2021 ) . Harmonic and Anharmonic Oscillators on the Heisenberg Group . Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Cardona D, Delgado J, Ruzhansky M ( 2021 ) . $L^p$-bounds for pseudo-differential operators on graded Lie groups . Journal of Geometric Analysis

Avetisyan Z, Grigoryan M, Ruzhansky M ( 2021 ) . Approximations in $L^1$ with convergent Fourier series . Mathematische Zeitschrift

Cardona D, Ruzhansky M ( 2021 ) . Sharpness of Seeger-Sogge-Stein orders for the weak (1,1) boundedness of Fourier integral operators .

Cardona D, Ruzhansky M ( 2021 ) . A local-to-global weak (1,1) type argument and applications to Fourier integral operators .

Karimov E, Ruzhansky M, Tokmagambetov N ( 2021 ) . Cauchy type problems for fractional differential equations . Integral Transforms and Special Functions vol. 33 , ( 1 ) 47 - 64 .

Karimov E, Ruzhansky M, Toshtemirov B ( 2021 ) . A boundary-value problem for a mixed type equation involving hyper-Bessel fractional differential operator and Hilfer's bi-ordinal fractional derivative .

Dasgupta A, Ruzhansky M ( 2021 ) . Eigenfunction Expansions of Ultradifferentiable Functions and Ultradistributions. III. Hilbert Spaces and Universality . Journal of Fourier Analysis and Applications vol. 27 , ( 2 )

Altybay A, Ruzhansky M, Sebih ME, Tokmagambetov N ( 2021 ) . Fractional Schrödinger Equation with Singular Potentials of Higher Order . Reports on Mathematical Physics vol. 87 , ( 1 ) 129 - 144 .

Ruzhansky M, Taranto C-A ( 2021 ) . Time-dependent wave equations on graded groups . Acta Applicandae Mathematicae

Altybay A, Ruzhansky M, Sebih ME, Tokmagambetov N ( 2021 ) . The heat equation with singular potentials . Applied Mathematics and Computation

Altybay A, Ruzhansky M, Sebih ME, Tokmagambetov N ( 2021 ) . Fractional Klein-Gordon equation with singular mass . CHAOS SOLITONS & FRACTALS vol. 143 , Article ARTN 110579 ,

Cardona D, Ruzhansky M ( 2021 ) . Fourier multipliers for Triebel-Lizorkin spaces on compact Lie groups .

Restrepo JE, Ruzhansky M, Suragan D ( 2021 ) . Generalized fractional Dirac type operators .

Ruzhansky M, Sabitbek B, Suragan D ( 2021 ) . Principal frequency of p-sub-Laplacians for general vector fields . Zeitschrift für Analysis und ihre Anwendungen vol. 40 , ( 1 ) 97 - 109 .

Hong Q, Hu G, Ruzhansky M ( 2021 ) . Fourier multipliers for Hardy spaces on graded Lie groups .

Ruzhansky M, Sabitbek B ( 2021 ) . Hardy and Rellich inequalities with Bessel pairs .

Cardona D, Kumar V, Ruzhansky M, Tokmagambetov N ( 2021 ) . Expansion of traces and Dixmier traceability for global pseudo-differential operators on manifolds with boundary .

Cardona D, Kumar V, Ruzhansky M, Tokmagambetov N ( 2021 ) . Global Functional calculus, lower/upper bounds and evolution equations on manifolds with boundary .

Kumar V, Ruzhansky M ( 2021 ) . A note on $K$-functional, Modulus of smoothness, Jackson theorem and Nikolskii-Stechkin inequality on Damek-Ricci spaces . Journal of Approximation Theory

Fischer V, Ruzhansky M ( 2021 ) . Fourier multipliers on graded Lie groups . Colloquium Mathematicum vol. 165 , ( 1 ) 1 - 30 .

Ruzhansky M, Sabitbek B, Suragan D ( 2021 ) . Geometric Hardy Inequalities on Starshaped Sets . JOURNAL OF CONVEX ANALYSIS vol. 28 , ( 3 ) 927 - 938 .

Ashyralyev A, Kalmenov TS, Ruzhansky MV, Sadybekov MA, Suragan D ( 2021 ) . Preface . Springer Proceedings in Mathematics and Statistics . vol. 351 , v - vi .

Ruzhansky M, Torebek BT ( 2020 ) . Multidimensional van der Corput-Type Estimates Involving Mittag-Leffler Functions . Fractional Calculus and Applied Analysis vol. 23 , ( 6 ) 1663 - 1677 .

Ruzhansky M, Yessirkegenov N ( 2020 ) . Factorizations and Hardy–Rellich inequalities on stratified groups . Journal of Spectral Theory vol. 10 , ( 4 ) 1361 - 1411 .

Fischer V, Ruzhansky M, Taranto CA ( 2020 ) . Subelliptic Gevrey spaces . Mathematische Nachrichten vol. 294 , ( 2 ) 265 - 285 .

Ben-Artzi M, Ruzhansky M, Sugimoto M ( 2020 ) . Spectral Identities And Smoothing Estimates For Evolution Operators . Advances in Differential Equations vol. 26 , ( 11-12 ) 627 - 650 .

Ben-Artzi M, Ruzhansky M, Sugimoto M ( 2020 ) . Spectral identities and smoothing estimates for evolution operators . Advances in Differential Equations vol. 25 , ( 11/12 )

Ruzhansky M, De Morales WAA, Kirilov A ( 2020 ) . Global hypoellipticity and global solvability for vector fields on compact Lie groups . Journal of Functional Analysis

Ruzhansky M, KASSYMOV A, TOKMAGAMBETOV N, TOREBEK BT ( 2020 ) . Sobolev, Hardy, Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg type inequalities for some fractional derivatives . Banach Journal of Mathematical Analysis

Ruzhansky M, Tokmagambetov N, Yessirkegenov N ( 2020 ) . Best constants in Sobolev and Gagliardo–Nirenberg inequalities on graded groups and ground states for higher order nonlinear subelliptic equations . Calculus of Variations and Partial Differential Equations vol. 59 , ( 5 )

Rottensteiner D, Ruzhansky M ( 2020 ) . The Harmonic Oscillator on the Heisenberg Group . Comptes Rendus Mathématique vol. 358 , ( 5 ) 609 - 614 .

Cardona D, Ruzhansky M ( 2020 ) . Subelliptic pseudo-differential operators and Fourier integral operators on compact Lie groups .

Ruzhansky M, Altybay A, Tokmagambetov N ( 2020 ) . A parallel hybrid implementation of the 2D acoustic wave equation . International Journal of Nonlinear Sciences and Numerical Simulation

Ruzhansky M, Hasanov A ( 2020 ) . Self-Similar Solutions of Some Model Degenerate Partial Differential Equations of the Second, Third, and Fourth Order . Lobachevskii Journal of Mathematics vol. 41 , ( 6 ) 1103 - 1114 .

Torijano CAR, Ruzhansky M ( 2020 ) . Subelliptic Wave Equations with Log-Lipschitz coefficients .

Akylzhanov R, Liflyand E, Ruzhansky M ( 2020 ) . Re-expansions on compact Lie groups . Analysis and Mathematical Physics

Ruzhansky M, Sabitbek B, Suragan D ( 2020 ) . Geometric Hardy and Hardy–Sobolev inequalities on Heisenberg groups . Bulletin of Mathematical Sciences vol. 10 , ( 03 )

Kassymov A, Ruzhansky M, Torebek BT ( 2020 ) . Rayleigh-Faber-Krahn, Lyapunov and Hartmann-Wintner inequalities for fractional elliptic problems .

Garetto C, Jäh C, Ruzhansky M ( 2020 ) . Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, II: microlocal analysis . Journal of Differential Equations

Ruzhansky M, Suragan D, Yessirkegenov N ( 2020 ) . Euler semigroup, Hardy-Sobolev and Gagliardo-Nirenberg type inequalities on homogeneous groups . Semigroup Forum

Botchway LNA, Kibiti PG, Ruzhansky M ( 2020 ) . Difference equations and pseudo-differential operators on Z n . Journal of Functional Analysis vol. 278 , ( 11 )

KARIMOV E, MAMCHUEV M, RUZHANSKY M ( 2020 ) . Non-local initial problem for second order time-fractional and space-singular equation . Hokkaido Mathematical Journal vol. 49 , ( 2 ) 349 - 361 .

Altybay A, Ruzhansky M, Sebih ME, Tokmagambetov N ( 2020 ) . Tsunami propagation for singular topographies .

Sánchez DC, Kumar V, Ruzhansky M, Tokmagambetov N ( 2020 ) . $L^p$-$L^q$ boundedness of pseudo-differential operators on smooth manifolds and its applications to nonlinear equations .

Ruzhansky M, Tokmagambetov N, Torebek BT ( 2020 ) . On a Non–Local Problem for a Multi–Term Fractional Diffusion-Wave Equation . Fractional Calculus and Applied Analysis vol. 23 , ( 2 ) 324 - 355 .

Federico S, Ruzhansky M ( 2020 ) . Smoothing and Strichartz estimates for degenerate Schrödinger-type equations .

Kirilov A, de Moraes WAA, Ruzhansky M ( 2020 ) . Partial Fourier series on compact Lie groups . Bulletin des Sciences Mathématiques vol. 160 ,

Hasanov A, Ruzhansky M ( 2020 ) . Hypergeometric Expansions of Solutions of the Degenerating Model Parabolic Equations of the Third Order . Lobachevskii Journal of Mathematics vol. 41 , ( 1 ) 27 - 31 .

Karimov E, Ruzhansky M, Tokmagambetov N ( 2020 ) . Initial, inner and inner-boundary problems for a fractional differential equation .

Ruzhansky M, Sabitbek B, Suragan D ( 2020 ) . Subelliptic geometric Hardy type inequalities on half-spaces and convex domains . Annals of Functional Analysis vol. 11 , ( 4 ) 1042 - 1061 .

Mamaeva S, Kononova I, Ruzhansky M, Nikiforov P, Nikolaevа N, Pavlov A, Fedorova N, Huang J et al. ( 2020 ) . Using Scanning Electron Microscopy and Atomic Force Microscopy to Study the Formation of Nanoparticles on Red Blood Cell Surface in Cervical Cancer Patients . International Journal of Biomedicine vol. 10 , ( 1 ) 70 - 75 .

Ruzhansky M, Torebek BT ( 2020 ) . Van der Corput lemmas for Mittag-Leffler functions. I .

Ruzhansky M, Sadybekov M, Suragan D ( 2020 ) . Spectral Geometry of Partial Differential Operators . Taylor & Francis

Akylzhanov R, Ruzhansky M ( 2020 ) . L p -L q multipliers on locally compact groups . Journal of Functional Analysis vol. 278 , ( 3 )

Kumar V, Ruzhansky M ( 2020 ) . Hausdorff-Young inequality for Orlicz spaces on compact homogeneous manifolds . Indagationes Mathematicae

Ruzhansky M, Sabitbek B, Suragan D ( 2020 ) . Hardy and Rellich inequalities for anisotropic p-sub-Laplacians . Banach Journal of Mathematical Analysis vol. 14 , ( 2 ) 380 - 398 .

Georgiev V, Ozawa T, Ruzhansky M, Wirth J ( 2020 ) . Preface .

Ben-Artzi M, Ruzhansky M, Sugimoto M ( 2020 ) . SPECTRAL IDENTITIES AND SMOOTHING ESTIMATES FOR EVOLUTION OPERATORS . ADVANCES IN DIFFERENTIAL EQUATIONS vol. 25 , ( 11-12 ) 627 - 650 .

Kassymov A, Ruzhansky M, Suragan D ( 2019 ) . FRACTIONAL LOGARITHMIC INEQUALITIES AND BLOW-UP RESULTS WITH LOGARITHMIC NONLINEARITY ON HOMOGENEOUS GROUPS . No DEA: Nonlinear Differential Equations and Applications

Kassymov A, Ruzhansky M, Suragan D ( 2019 ) . Reverse Stein-Weiss, Hardy-Littlewood-Sobolev, Hardy, Sobolev and Caffarelli-Kohn-Nirenberg inequalities on homogeneous groups .

Kirilov A, de Moraes WAA, Ruzhansky M ( 2019 ) . Global properties of vector fields on compact Lie groups in Komatsu classes. II. Normal forms .

Ruzhansky M, Yessirkegenov N ( 2019 ) . Very weak solutions to hypoelliptic wave equations . Journal of Differential Equations

Laptev A, Ruzhansky M, Yessirkegenov N ( 2019 ) . Hardy inequalities for Landau Hamiltonian and for Baouendi-Grushin operator with Aharonov-Bohm type magnetic field. Part I . Mathematica Scandinavica vol. 125 , ( 2 ) 239 - 269 .

Ruzhansky M, Tokmagambetov N, Torebek BT ( 2019 ) . Inverse source problems for positive operators. I: Hypoelliptic diffusion and subdiffusion equations . Journal of Inverse and Ill-posed Problems

Ruzhansky M, Yessirkegenov N ( 2019 ) . Limiting cases of Sobolev inequalities on stratified groups . Proceedings of the Japan Academy Series A Mathematical Sciences vol. 95 , ( 8 ) 83 - 87 .

Akylzhanov R, Ruzhansky M ( 2019 ) . Lp-Lq multipliers on locally compact groups . Journal of Functional Analysis vol. 278 , ( 3 )

Ruzhansky M, Tokmagambetov N, Torebek BT ( 2019 ) . Bitsadze-Samarskii type problem for the integro-differential diffusion-wave equation on the Heisenberg group . Integral Transforms and Special Functions

Kassymov A, Ruzhansky M, Suragan D ( 2019 ) . Hardy–Littlewood–Sobolev and Stein–Weiss inequalities on homogeneous Lie groups . Integral Transforms and Special Functions vol. 30 , ( 8 ) 643 - 655 .

Muñoz JC, Ruzhansky M, Tokmagambetov N ( 2019 ) . Acoustic and Shallow Water Wave Propagation with Irregular Dissipation . Functional Analysis and Its Applications vol. 53 , ( 2 ) 153 - 156 .

Akylzhanov R, Nursultanov E, Ruzhansky M ( 2019 ) . Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and Lp-Lq Fourier multipliers on compact homogeneous manifolds . Journal of Mathematical Analysis and Applications

Ruzhansky M, Tokmagambetov N ( 2019 ) . On nonlinear damped wave equations for positive operators. I. Discrete spectrum . Differential and Integral Equations vol. 32 , ( 7/8 )

Huang J, Ruzhanshy M, Feng H, Zheng L, Huang X, Wang H ( 2019 ) . Feature extraction for license plate location based on L0-norm smoothing . Open Computer Science vol. 9 , ( 1 ) 128 - 135 .

Ruzhansky M, Suragan D ( 2019 ) . Critical Hardy inequalities . Annales Academiae Scientiarum Fennicae Mathematica vol. 44 , ( 2 ) 1159 - 1174 .

Ruzhansky M, Suragan D ( 2019 ) . Green’s Identities, Comparison Principle and Uniqueness of Positive Solutions for Nonlinear p-sub-Laplacian Equations on Stratified Lie Groups . Potential Analysis vol. 53 , ( 2 ) 645 - 658 .

Matsuyama T, Ruzhansky M ( 2019 ) . On the Gevrey well-posedness of the Kirchhoff equation . Journal d'Analyse Mathématique vol. 137 , ( 1 ) 449 - 468 .

Kalmenov TS, Ruzhansky M, Suragan D ( 2019 ) . On spectral and boundary properties of the volume potential for the Helmholtz equation . Mathematical Modelling of Natural Phenomena vol. 14 , ( 5 )

Ruzhansky M, Sabitbek B, Suragan D ( 2019 ) . Weighted anisotropic Hardy and Rellich type inequalities for general vector fields . Nonlinear Differential Equations and Applications NoDEA vol. 26 , ( 2 )

Ruzhansky M, Verma D ( 2019 ) . Hardy inequalities on metric measure spaces . Proceedings of the Royal Society A vol. 475 , ( 2223 )

Muñoz JC, Ruzhansky M, Tokmagambetov N ( 2019 ) . Wave propagation with irregular dissipation and applications to acoustic problems and shallow waters . Journal de Mathématiques Pures et Appliquées vol. 123 , 127 - 147 .

Ruzhansky M, Yessirkegenov N ( 2019 ) . New Progress on Weighted Trudinger–Moser and Gagliardo–Nirenberg, and Critical Hardy Inequalities on Stratified Groups . Landscapes of Time-Frequency Analysis , Springer Nature

Esposito M, Ruzhansky M ( 2019 ) . Pseudo-differential operators with nonlinear quantizing functions . Proceedings of the Royal Society of Edinburgh Section A Mathematics vol. 150 , ( 1 ) 103 - 130 .

Cardona D, Ruzhansky M ( 2019 ) . Boundedness of pseudo-differential operators in subelliptic Sobolev and Besov spaces on compact Lie groups .

Daher R, Delgado J, Ruzhansky M ( 2019 ) . Titchmarsh theorems for Fourier transforms of Hölder–Lipschitz functions on compact homogeneous manifolds . Monatshefte für Mathematik vol. 189 , ( 1 ) 23 - 49 .

Ruzhansky M, Sugimoto M ( 2019 ) . A local-to-global boundedness argument and Fourier integral operators . Journal of Mathematical Analysis and Applications

Ruzhansky M, Dutta H ( 2019 ) . Advanced topics in mathematical analysis .

Ruzhansky M, Serikbaev D, Tokmagambetov N ( 2019 ) . An inverse problem for the pseudo-parabolic equation for Laplace operator . International Journal of Mathematics and Physics vol. 10 , ( 1 ) 23 - 28 .

Ruzhansky M, Suragan D ( 2019 ) . Analysis on Homogeneous Groups . Progress in Mathematics , vol. 327 ,

Ruzhansky M, Suragan D ( 2019 ) . Elements of Potential Theory on Stratified Groups . Progress in Mathematics , vol. 327 ,

Ruzhansky M, Suragan D ( 2019 ) . Fractional Hardy Inequalities . Progress in Mathematics , vol. 327 ,

Ruzhansky M, Suragan D ( 2019 ) . Function Spaces on Homogeneous Groups . Progress in Mathematics , vol. 327 ,

Ruzhansky M, Suragan D ( 2019 ) . Geometric Hardy Inequalities on Stratified Groups . Progress in Mathematics , vol. 327 ,

Ruzhansky M, Suragan D ( 2019 ) . Hardy Inequalities on Homogeneous Groups . Progress in Mathematics , vol. 327 ,

Ruzhansky M, Suragan D ( 2019 ) . Hardy Inequalities on Homogeneous Groups, 100 Years of Hardy Inequalities . Springer Nature

Ruzhansky M, Suragan D ( 2019 ) . Hardy and Rellich Inequalities for Sums of Squares of Vector Fields . Progress in Mathematics , vol. 327 ,

Ruzhansky M, Suragan D ( 2019 ) . Hardy–Rellich Inequalities and Fundamental Solutions . Progress in Mathematics , vol. 327 ,

Ruzhansky M, Suragan D ( 2019 ) . Horizontal Inequalities on Stratified Groups . Progress in Mathematics , vol. 327 ,

Ruzhansky M, Suragan D ( 2019 ) . Integral Hardy Inequalities on Homogeneous Groups . Progress in Mathematics , vol. 327 ,

Ruzhansky M, Suragan D ( 2019 ) . Introduction . Progress in Mathematics , vol. 327 ,

Ruzhansky M, Tokmagambetov N ( 2019 ) . On nonlinear damped wave equations for positive operators. I. Discrete spectrum . Differential and Integral Equations vol. 32 , ( 7-8 ) 455 - 478 .

Delgado J, Ruzhansky M ( 2019 ) . Preface . Springer Proceedings in Mathematics and Statistics . vol. 275 , vii - viii .

Ruzhansky M, Suragan D ( 2019 ) . Rellich, Caffarelli–Kohn–Nirenberg, and Sobolev Type Inequalities . Progress in Mathematics , vol. 327 ,

Ruzhansky M, Suragan D ( 2019 ) . Uncertainty Relations on Homogeneous Groups . Progress in Mathematics , vol. 327 ,

Ruzhansky M, Tokmagambetov N ( 2019 ) . Wave equation for 2D Landau hamiltonian . Applied and Computational Mathematics vol. 18 , ( 1 ) 69 - 78 .

Altybay A, Ruzhansky M, Tokmagambetov N ( 2019 ) . Wave equation with distributional propagation speed and mass term: Numerical simulations . Applied Mathematics E - Notes vol. 19 , 552 - 562 .

Fischer V, Rottensteiner D, Ruzhansky M ( 2018 ) . Heisenberg-Modulation Spaces at the Crossroads of Coorbit Theory and Decomposition Space Theory .

Ruzhansky M, Yessirkegenov N ( 2018 ) . Rellich inequalities for sub-Laplacians with drift . Proceedings of the American Mathematical Society vol. 147 , ( 3 ) 1335 - 1349 .

Ruzhansky M, Tokmagambetov N ( 2018 ) . Nonlinear damped wave equations for the sub-Laplacian on the Heisenberg group and for Rockland operators on graded Lie groups . Journal of Differential Equations vol. 265 , ( 10 ) 5212 - 5236 .

Ozawa T, Ruzhansky M, Suragan D ( 2018 ) . L p -Caffarelli–Kohn–Nirenberg type inequalities on homogeneous groups . The Quarterly Journal of Mathematics vol. 70 , ( 1 ) 305 - 318 .

Cardona D, Ruzhansky M ( 2018 ) . Hörmander condition for pseudo-multipliers associated to the harmonic oscillator .

Măntoiu M, Ruzhansky M ( 2018 ) . Quantizations on Nilpotent Lie Groups and Algebras Having Flat Coadjoint Orbits . The Journal of Geometric Analysis vol. 29 , ( 3 ) 2823 - 2861 .

Akylzhanov R, Majid S, Ruzhansky M ( 2018 ) . Smooth Dense Subalgebras and Fourier Multipliers on Compact Quantum Groups . Communications in Mathematical Physics vol. 362 , ( 3 ) 761 - 799 .

Delgado J, Ruzhansky M ( 2018 ) . Fourier multipliers, symbols, and nuclearity on compact manifolds . Journal d'Analyse Mathématique vol. 135 , ( 2 ) 757 - 800 .

Ruzhansky M, Suragan D ( 2018 ) . A comparison principle for nonlinear heat Rockland operators on graded groups . Bulletin of the London Mathematical Society vol. 50 , ( 5 ) 753 - 758 .

Ruzhansky M, Suragan D, Yessirkegenov N ( 2018 ) . Hardy-Littlewood, Bessel-Riesz, and Fractional Integral Operators in Anisotropic Morrey and Campanato Spaces . Fractional Calculus and Applied Analysis vol. 21 , ( 3 ) 577 - 612 .

Ruzhansky MV, Suragan D ( 2018 ) . Elements of Potential Theory on Carnot Groups . Functional Analysis and Its Applications vol. 52 , ( 2 ) 158 - 161 .

Ruzhansky M, Sabitbek B, Suragan D ( 2018 ) . Weighted Lp-Hardy and Lp-Rellich inequalities with boundary terms on stratified Lie groups . Revista Matematica Complutense1 - 17 .

Ruzhansky MV, Tokmagambetov NE ( 2018 ) . On a Very Weak Solution of the Wave Equation for a Hamiltonian in a Singular Electromagnetic Field . Mathematical Notes vol. 103 , ( 5-6 ) 856 - 858 .

Ruzhansky MV, Tokmagambetov N ( 2018 ) . On a Very Weak Solution of the Wave Equation for a Hamiltonian in a Singular Electromagnetic Field: Об очень слабом решении волнового уравнения для гамильтониана в сингулярном электромагнитном поле . Mathematical Notes vol. 103 , ( 5 ) 790 - 793 .

Ruzhansky M, Suragan D ( 2018 ) . A NOTE ON STABILITY OF HARDY INEQUALITIES . ANNALS OF FUNCTIONAL ANALYSIS vol. 9 , ( 4 ) 451 - 462 .

Dasgupta A, Ruzhansky M ( 2018 ) . Eigenfunction expansions of ultradifferentiable functions and ultradistributions. II. Tensor representations . Transactions of the American Mathematical Society Series B vol. 5 , ( 4 ) 81 - 101 .

Ruzhansky M, Yessirkegenov N ( 2018 ) . Hypoelliptic functional inequalities . Mathematische Zeitschrift

Ruzhansky M, Dutta H, Agarwal RP ( 2018 ) . Preface .

Delgado J, Ruzhansky M ( 2018 ) . The bounded approximation property of variable Lebesgue spaces and nuclearity . Mathematica Scandinavica vol. 122 , ( 2 ) 299 - 319 .

Garetto C, Jäh C, Ruzhansky M ( 2018 ) . Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, I: well-posedness . Mathematische Annalen vol. 372 , ( 3-4 ) 1597 - 1629 .

Ruzhansky M, Suragan D, Yessirkegenov N ( 2018 ) . Sobolev Type Inequalities, Euler–Hilbert–Sobolev and Sobolev–Lorentz–Zygmund Spaces on Homogeneous Groups . Integral Equations and Operator Theory vol. 90 , ( 1 )

Ruzhansky M, Suragan D, Yessirkegenov N ( 2018 ) . Extended Caffarelli-Kohn-Nirenberg inequalities, and remainders, stability, and superweights for L p L^{p} -weighted Hardy inequalities . Transactions of the American Mathematical Society Series B vol. 5 , ( 2 ) 32 - 62 .

Ruzhansky M, Tokmagambetov N ( 2018 ) . Convolution, Fourier analysis, and distributions generated by Riesz bases . Monatshefte fur Mathematik vol. 187 , ( 1 ) 147 - 170 .

Aliev FA, Larin VB, Mahmudov NI, Safarova NA, Konstantinov MM, Castillo O, Ruzhansky M ( 2018 ) . COIA 2018 . Applied and Computational Mathematics vol. 17 , ( 3 )

Ruzhansky M ( 2018 ) . OPTIMIZATION OF CONSTANTS FOR SUBELLIPTIC EMBEDDINGS . PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, VOL I . 25 - 27 .

Ruzhansky M, Suragan D ( 2017 ) . Isoperimetric Inequalities for Some Integral Operators Arising in Potential Theory . Springer Proceedings in Mathematics & Statistics . vol. 216 , 320 - 329 .

Ruzhansky M, Suragan D ( 2017 ) . Geometric maximizers of Schatten norms of some convolution type integral operators . Journal of Mathematical Analysis and Applications vol. 456 , ( 1 ) 444 - 456 .

Kanguzhin B, Ruzhansky M, Tokmagambetov N ( 2017 ) . On convolutions in Hilbert spaces . Functional Analysis and Its Applications vol. 51 , ( 3 ) 221 - 224 .

Ruzhansky M, Suragan D, Yessirkegenov N ( 2017 ) . Caffarelli–Kohn–Nirenberg and Sobolev type inequalities on stratified Lie groups . Nonlinear Differential Equations and Applications vol. 24 , ( 5 )

Agarwal P, Karimov E, Mamchuev M, Ruzhansky M ( 2017 ) . On Boundary-Value Problems for a Partial Differential Equation with Caputo and Bessel Operators . Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science , Springer Nature

Garofalo N, Ruzhansky M, Suragan D ( 2017 ) . On Green functions for Dirichlet sub-Laplacians on H-type groups . Journal of Mathematical Analysis and Applications vol. 452 , ( 2 ) 896 - 905 .

Ruzhansky M, Suragan D ( 2017 ) . Hardy and Rellich inequalities, identities, and sharp remainders on homogeneous groups . Advances in Mathematics vol. 317 , 799 - 822 .

Ruzhansky M, Tokmagambetov N ( 2017 ) . Wave Equation for Operators with Discrete Spectrum and Irregular Propagation Speed . Archive for Rational Mechanics and Analysis vol. 226 , ( 3 ) 1161 - 1207 .

Delgado J, Ruzhansky M ( 2017 ) . Fourier multipliers in Hilbert spaces .

Ruzhansky M, Suragan D ( 2017 ) . Local Hardy and Rellich inequalities for sums of squares of vector fields . Advances in Differential Equations vol. 22 , ( 7/8 )

Ruzhansky M, Suragan D ( 2017 ) . Local hardy and rellich inequalities for sums of squares of vector fields . Advances in Differential Equations vol. 22 , ( 7-8 ) 505 - 540 .

Dasgupta A, Ruzhansky M ( 2017 ) . Erratum to “The Gohberg Lemma, compactness, and essential spectrum of operators on compact Lie groups” . Journal d'Analyse Mathématique vol. 132 , ( 1 ) 395 - 395 .

Delgado J, Ruzhansky M, Tokmagambetov N ( 2017 ) . Schatten classes, nuclearity and nonharmonic analysis on compact manifolds with boundary . Journal de Mathématiques Pures et Appliquées vol. 107 , ( 6 ) 758 - 783 .

Ruzhansky M, Agarwal P, Area I, Karimov ET ( 2017 ) . Preface for the Special Issue on “Special functions and analysis of PDEs” . Mathematical Modelling of Natural Phenomena vol. 12 , ( 3 ) 1 - 3 .

Ruzhansky M, Suragan D ( 2017 ) . Uncertainty relations on nilpotent Lie groups . Proc Math Phys Eng Sci vol. 473 , ( 2201 ) 20170082 - 20170082 .

Ruzhansky M, Suragan D, Yessirkegenov N ( 2017 ) . Extended Caffarelli–Kohn–Nirenberg inequalities and superweights for L^p-weighted Hardy inequalities . Comptes Rendus Mathematique vol. 355 , ( 6 ) 694 - 698 .

Matsuyama T, Ruzhansky M ( 2017 ) . The Kirchhoff Equation with Gevrey Data . Trends in Mathematics . 313 - 318 .

Matsuyama T, Ruzhansky M ( 2017 ) . Almost global well-posedness of Kirchhoff equation with Gevrey data . Comptes Rendus Mathematique vol. 355 , ( 5 ) 522 - 525 .

Delgado J, Ruzhansky M ( 2017 ) . -BOUNDS FOR PSEUDO-DIFFERENTIAL OPERATORS ON COMPACT LIE GROUPS . Journal of the Institute of Mathematics of Jussieu vol. 18 , ( 3 ) 531 - 559 .

Cardona D, Ruzhansky M ( 2017 ) . Multipliers for Besov spaces on graded Lie groups . Comptes Rendus Mathématique vol. 355 , ( 4 ) 400 - 405 .

Garetto C, Ruzhansky M ( 2017 ) . On C∞ well-posedness of hyperbolic systems with multiplicities . Annali di Matematica Pura ed Applicata (1923 -) vol. 196 , ( 5 ) 1819 - 1834 .

Ruzhansky M, Tokmagambetov N ( 2017 ) . Nonharmonic Analysis of Boundary Value Problems Without WZ Condition . Mathematical Modelling of Natural Phenomena vol. 12 , ( 1 ) 115 - 140 .

Ruzhansky M, Suragan D ( 2017 ) . On horizontal Hardy, Rellich, Caffarelli–Kohn–Nirenberg and p-sub-Laplacian inequalities on stratified groups . Journal of Differential Equations vol. 262 , ( 3 ) 1799 - 1821 .

Ruzhansky M, Suragan D ( 2017 ) . Anisotropic L²-weighted Hardy and L²-Caffarelli-Kohn-Nirenberg inequalities . Communications in Contemporary Mathematics vol. 19 , ( 6 )

Ruzhansky M, Suragan D ( 2017 ) . Layer potentials, Kac's problem, and refined Hardy inequality on homogeneous Carnot groups . Advances in Mathematics vol. 308 , 483 - 528 .

Akylzhanov R, Ruzhansky M ( 2017 ) . NET SPACES ON LATTICES, HARDY-LITTLEWOOD TYPE INEQUALITIES, AND THEIR CONVERSES . EURASIAN MATHEMATICAL JOURNAL vol. 8 , ( 3 ) 10 - 27 .

Кангужин БЕ, Kanguzhin BE, Ружанский МВ, Ruzhansky MV, Токмагамбетов НЕ, Tokmagambetov NE ( 2017 ) . On Convolutions in Hilbert Spaces . Functional Analysis and Its Applications vol. 51 , ( 3 ) 77 - 80 .

Altybay A, Ruzhansky M, Tokmagambetov N ( 2017 ) . On numerical simulations of the 1d wave equation with a distributional coefficient and source term . International Journal of Mathematics and Physics vol. 8 , ( 2 ) 28 - 32 .

Kalmenov TS, Nursultanov ED, Ruzhansky MV, Sadybekov MA ( 2017 ) . Preface . Springer Proceedings in Mathematics and Statistics . vol. 216 , v - vii .

Mantoiu M, Ruzhansky M ( 2017 ) . Pseudo-Differential Operators, Wigner Transform and Weyl Systems on Type I Locally Compact Groups . Documenta Mathematica vol. 22 , 1539 - 1592 .

Delgado J, Ruzhansky M ( 2017 ) . Schatten classes and traces on compact groups . Mathematical Research Letters vol. 24 , ( 4 ) 979 - 1003 .

Fischer V, Ruzhansky M ( 2017 ) . Sobolev spaces on graded Lie groups . Annales de l’institut Fourier vol. 67 , ( 4 ) 1671 - 1723 .

Delgado J, Ruzhansky M, Wang B ( 2016 ) . Grothendieck–Lidskii trace formula for mixed-norm and variable Lebesgue spaces . Journal of Spectral Theory vol. 6 , ( 4 ) 781 - 791 .

Ruzhansky M, Tokmagambetov N ( 2016 ) . Very weak solutions of wave equation for Landau Hamiltonian with irregular electromagnetic field . Letters in Mathematical Physics vol. 107 , ( 4 ) 591 - 618 .

Cardona D, Ruzhansky M ( 2016 ) . Littlewood-Paley theorem, Nikolskii inequality, Besov spaces, Fourier and spectral multipliers on graded Lie groups .

Nursultanov E, Ruzhansky M, Tikhonov S ( 2016 ) . Nikolskii inequality and Besov, Triebel-Lizorkin, Wiener and Beurling spaces on compact homogeneous manifolds . ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE981 - 1017 .

Akylzhanov RK, Nursultanov ED, Ruzhansky MV ( 2016 ) . Hardy–Littlewood–Paley-type inequalities on compact Lie groups . Mathematical Notes vol. 100 , ( 1-2 ) 309 - 312 .

Berdyshev A, Kalimoldayev M, Ruzhansky M ( 2016 ) . Preface to the Special Issue on “Mathematical modelling in applied sciences” . Open Engineering vol. 6 , ( 1 )

Akylzhanov R, Ruzhansky M ( 2016 ) . Fourier multipliers and group von Neumann algebras . Comptes Rendus Mathematique vol. 354 , ( 8 ) 766 - 770 .

Delgado J, Ruzhansky M, Wang B ( 2016 ) . Approximation property and nuclearity on mixed‐norm Lp, modulation and Wiener amalgam spaces . Journal of the London Mathematical Society vol. 94 , ( 2 ) 391 - 408 .

Ruzhansky MV, Suragan D ( 2016 ) . On Schatten norms of convolution-type integral operators . Russian Mathematical Surveys vol. 71 , ( 1 ) 157 - 158 .

Rozenblum G, Ruzhansky M, Suragan D ( 2016 ) . Isoperimetric inequalities for Schatten norms of Riesz potentials . Journal of Functional Analysis vol. 271 , ( 1 ) 224 - 239 .

Garetto C, Ruzhansky M ( 2016 ) . On hyperbolic systems with time-dependent Hölder characteristics . Annali di Matematica Pura ed Applicata vol. 196 , ( 1 ) 155 - 164 .

Ruzhansky M, Suragan D ( 2016 ) . On first and second eigenvalues of Riesz transforms in spherical and hyperbolic geometries . Bulletin of Mathematical Sciences vol. 6 , ( 2 ) 325 - 334 .

Dasgupta A, Ruzhansky M ( 2016 ) . The Gohberg Lemma, compactness, and essential spectrum of operators on compact Lie groups . Journal d'Analyse Mathématique vol. 128 , ( 1 ) 179 - 190 .

Ruzhansky MV, Suragan D ( 2016 ) . О нормах Шаттена интегральных операторов типа свертки: On Schatten norms of convolution-type integral operators . Russian Mathematical Surveys vol. 71 , ( 1(427) ) 169 - 170 .

Ruzhansky M, Tikhonov S ( 2016 ) . Some Problems in Fourier Analysis and Approximation Theory . Methods of Fourier Analysis and Approximation Theory , Springer Nature

Ruzhansky M, Suragan D ( 2016 ) . Isoperimetric inequalities for the logarithmic potential operator . Journal of Mathematical Analysis and Applications vol. 434 , ( 2 ) 1676 - 1689 .

Dasgupta A, Ruzhansky M ( 2016 ) . Eigenfunction expansions of ultradifferentiable functions and ultradistributions . Transactions of the American Mathematical Society vol. 368 , ( 12 ) 8481 - 8498 .

Ruzhansky M, Wang B, Zhang H ( 2016 ) . Global well-posedness and scattering for the fourth order nonlinear Schrödinger equations with small data in modulation and Sobolev spaces . Journal de Mathématiques Pures et Appliquées vol. 105 , ( 1 ) 31 - 65 .

Akylzhanov R, Nurlustanov E, Ruzhansky M ( 2016 ) . Hardy–Littlewood–Paley inequalities and Fourier multipliers on SU(2) . Studia Mathematica1 - 29 .

Fischer V, Ruzhansky M ( 2016 ) . Homogeneous lie groups . Progress in Mathematics , vol. 314 ,

Ruzhansky M, Tikhonov S ( 2016 ) . Preface .

Fischer V, Ruzhansky M ( 2016 ) . Preliminaries on lie groups . Progress in Mathematics , vol. 314 ,

Fischer V, Ruzhansky M ( 2016 ) . Pseudo-differential operators on the Heisenberg group . Progress in Mathematics , vol. 314 ,

Fischer V, Ruzhansky M ( 2016 ) . Quantization on Nilpotent Lie Groups . Springer Nature

Fischer V, Ruzhansky M ( 2016 ) . Quantization on compact lie groups . Progress in Mathematics , vol. 314 ,

Fischer V, Ruzhansky M ( 2016 ) . Quantization on graded lie groups . Progress in Mathematics , vol. 314 ,

Fischer V, Ruzhansky M ( 2016 ) . Rockland operators and Sobolev spaces . Progress in Mathematics , vol. 314 ,

Nursultanov ED, Ruzhansky MV, Tikhonov SY ( 2015 ) . Nikolskii Inequality and Functional Classes on Compact Lie Groups: Неравенство Никольского и функциональные классы на компактных группах Ли . Functional Analysis and Its Applications vol. 49 , ( 3 ) 83 - 87 .

Ruzhansky M, Sugimoto M ( 2015 ) . Global regularity properties for a class of Fourier integral operators .

Akylzhanov R, Ruzhansky M ( 2015 ) . Net spaces on lattices, Hardy-Littlewood type inequalities, and their converses .

Nursultanov ED, Ruzhansky MV, Tikhonov SY ( 2015 ) . Nikolskii inequality and functional classes on compact lie groups . Functional Analysis and Its Applications vol. 49 , ( 3 ) 226 - 229 .

Ruzhansky M, Tokmagambetov N ( 2015 ) . Nonharmonic Analysis of Boundary Value Problems . International Mathematics Research Notices vol. 2016 , ( 12 ) 3548 - 3615 .

Ruzhansky M, Sugimoto M ( 2015 ) . Smoothing estimates for non-dispersive equations . Mathematische Annalen vol. 365 , ( 1-2 ) 241 - 269 .

Ruzhansky M, Suragan D ( 2015 ) . On Kac’s principle of not feeling the boundary for the Kohn Laplacian on the Heisenberg group . Proceedings of the American Mathematical Society vol. 144 , ( 2 ) 709 - 721 .

Garetto C, Ruzhansky M ( 2015 ) . Wave equation for sums of squares on compact Lie groups . Journal of Differential Equations vol. 258 , ( 12 ) 4324 - 4347 .

Ruzhansky M, Wirth J ( 2015 ) . Lp Fourier multipliers on compact Lie groups . Mathematische Zeitschrift vol. 280 , ( 3-4 ) 621 - 642 .

Matsuyama T, Ruzhansky M ( 2015 ) . Global well-posedness of the Kirchhoff equation and Kirchhoff systems . Springer Proceedings in Mathematics and Statistics . vol. 116 , 81 - 96 .

Mityushev V, Ruzhansky M ( 2015 ) . Preface .

Garetto C, Ruzhansky M ( 2014 ) . Hyperbolic Second Order Equations with Non-Regular Time Dependent Coefficients . Archive for Rational Mechanics and Analysis vol. 217 , ( 1 ) 113 - 154 .

Matsuyama T, Ruzhansky M ( 2014 ) . Global Well-Posedness of the Kirchhoff Equation and Kirchhoff Systems . Analytic Methods in Interdisciplinary Applications , vol. 116 , Springer Nature

Ruzhansky M, Sugimoto M ( 2014 ) . On global inversion of homogeneous maps . Bulletin of Mathematical Sciences vol. 5 , ( 1 ) 13 - 18 .

Delgado J, Ruzhansky M ( 2014 ) . Kernel and symbol criteria for Schatten classes and r-nuclearity on compact manifolds . Comptes Rendus Mathématique vol. 352 , ( 10 ) 779 - 784 .

Dasgupta A, Ruzhansky M ( 2014 ) . Gevrey functions and ultradistributions on compact Lie groups and homogeneous spaces . Bulletin des Sciences Mathématiques vol. 138 , ( 6 ) 756 - 782 .

Ruzhansky M, Sugimoto M ( 2014 ) . Trace theorems: critical cases and best constants . Proceedings of the American Mathematical Society vol. 143 , ( 1 ) 227 - 237 .

Iftime OV, Roman M, Sandovici A ( 2014 ) . A Kernel Representation of Dirac Structures for Infinite-dimensional Systems . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 295 - 308 .

Delgado J, Ruzhansky M ( 2014 ) . Schatten classes on compact manifolds: Kernel conditions . Journal of Functional Analysis vol. 267 , ( 3 ) 772 - 798 .

Molahajloo S ( 2014 ) . A Characterization of Compact SG Pseudo-differential Operators on L2(ℝn) . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 239 - 243 .

Zinchenko M ( 2014 ) . CMV Matrices with Super Exponentially Decaying Verblunsky Coefficients . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 282 - 294 .

Ramm AG, Andriychuk MI ( 2014 ) . Calculation of Electromagnetic Wave Scattering by a Small Impedance Particle of an Arbitrary Shape . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 254 - 269 .

Labate D, Laezza F, Negi P, Ozcan B, Papadakis M ( 2014 ) . Efficient Processing of Fluorescence Images Using Directional Multiscale Representations . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 177 - 193 .

Adami R, Noja D ( 2014 ) . Exactly Solvable Models and Bifurcations: the Case of the Cubic NLS with a δ or a δ′ Interaction in Dimension One . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 1 - 16 .

Ramm AG ( 2014 ) . Inverse Scattering Problem with Underdetermined Data . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 244 - 253 .

Li J, Wong MW ( 2014 ) . Localization Operators for Ridgelet Transforms . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 194 - 203 .

Catană V ( 2014 ) . Lp-boundedness of Multilinear Pseudo-differential Operators on Zn and Tn . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 17 - 38 .

Ibragimov R, Vatchev V ( 2014 ) . Reconstruction of Structured Quadratic Pencils from Eigenvalues on Ellipses and Parabolas . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 138 - 147 .

Ibragimov RN, Tartakovsky A ( 2014 ) . Spectral Analysis of the Efficiency of Vertical Mixing in the Deep Ocean due to Interaction of Tidal Currents with a Ridge Running down a Continental Slope . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 119 - 137 .

Stoiciu M ( 2014 ) . Spectral Properties of Random and Deterministic CMV Matrices . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 270 - 281 .

Duan X ( 2014 ) . Spectral Theory of the Hermite Operator on Lp(Rn) . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 39 - 43 .

Ibragimov NH, Ibragimov RN, Galiakberova LR ( 2014 ) . Symmetries and Conservation Laws of a Spectral Nonlinear Model for Atmospheric Baroclinic Jets . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 111 - 118 .

Fischbacher C, Stolz G ( 2014 ) . The Infinite XXZ Quantum Spin Chain Revisited: Structure of Low Lying Spectral Bands and Gaps . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 44 - 72 .

Han B ( 2014 ) . The Projection Method for Multidimensional Framelet and Wavelet Analysis . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 83 - 110 .

Iosevich A, Rudnev M, Uriarte-Tuero I ( 2014 ) . Theory of Dimension for Large Discrete Sets and Applications . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 148 - 169 .

Mei M, Yessen W ( 2014 ) . Tridiagonal Substitution Hamiltonians . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 204 - 238 .

Ruzhansky M, Wirth J ( 2014 ) . Global functional calculus for operators on compact Lie groups . Journal of Functional Analysis vol. 267 , ( 1 ) 144 - 172 .

Delgado J, Ruzhansky M ( 2014 ) . Lp-nuclearity, traces, and Grothendieck–Lidskii formula on compact Lie groups . Journal de Mathématiques Pures et Appliquées vol. 102 , ( 1 ) 153 - 172 .

Ruzhansky M, Turunen V, Wirth J ( 2014 ) . Hörmander Class of Pseudo-Differential Operators on Compact Lie Groups and Global Hypoellipticity . Journal of Fourier Analysis and Applications vol. 20 , ( 3 ) 476 - 499 .

Garetto C, Ruzhansky M ( 2014 ) . A note on weakly hyperbolic equations with analytic principal part . Journal of Mathematical Analysis and Applications vol. 412 , ( 1 ) 1 - 14 .

Fischer V, Ruzhansky M ( 2014 ) . A pseudo-differential calculus on the Heisenberg group . Comptes Rendus Mathématique vol. 352 , ( 3 ) 197 - 204 .

Coriasco S, Ruzhansky M ( 2014 ) . Global L p L^p continuity of Fourier integral operators . Transactions of the American Mathematical Society vol. 366 , ( 5 ) 2575 - 2596 .

Shayakhmetova A, Samigulina G, Ruzhansky M ( 2014 ) . Basic overview and analysis in the area of distance learning . Life Science Journal vol. 11 , ( SPEC. ISSUE 4 ) 179 - 184 .

Ruzhansky M, Turunen V ( 2014 ) . Preface .

Cruz-Uribe D, Fiorenza A, Ruzhansky M, Wirth J ( 2014 ) . Variable Lebesgue Spaces and Hyperbolic Systems . Springer Nature

Fischer V, Ruzhansky M ( 2014 ) . A Pseudo-differential Calculus on Graded Nilpotent Lie Groups . Trends in Mathematics . 107 - 132 .

Matsuyama T, Ruzhansky M ( 2013 ) . Global well-posedness of Kirchhoff systems . Journal de Mathématiques Pures et Appliquées vol. 100 , ( 2 ) 220 - 240 .

Ruzhansky M ( 2013 ) . LP-distributions on symmetric spaces . Results in Mathematics vol. 44 , ( 1-2 ) 159 - 168 .

Ruzhansky M ( 2013 ) . Sharp estimates for a class of hyperbolic pseudo-differential equations . Results in Mathematics vol. 41 , ( 3-4 ) 361 - 368 .

Matsuyama T, Ruzhansky M ( 2013 ) . Scattering for strictly hyperbolic systems with time‐dependent coefficients . Mathematische Nachrichten vol. 286 , ( 11‐12 ) 1191 - 1207 .

Ruzhansky MV, Wirth J ( 2013 ) . On multipliers on compact Lie groups . Functional Analysis and Its Applications vol. 47 , ( 1 ) 72 - 75 .

Gramchev T, Ruzhansky M ( 2013 ) . Cauchy Problem for Some 2 × 2 Hyperbolic Systems of Pseudo-differential Equations with Nondiagonalisable Principal Part . Progress in Nonlinear Differential Equations and Their Applications . vol. 84 , 129 - 145 .

Garetto C, Ruzhansky M ( 2013 ) . Weakly hyperbolic equations with non-analytic coefficients and lower order terms . Mathematische Annalen vol. 357 , ( 2 ) 401 - 440 .

Ruzhansky M ( 2013 ) . An Open Problem in Complex Analytic Geometry Arising in Harmonic Analysis . Mathematical Modelling of Natural Phenomena vol. 8 , ( 1 ) 230 - 236 .

Fischer V, Ruzhansky M ( 2013 ) . Lower bounds for operators on graded Lie groups . Comptes Rendus Mathématique vol. 351 , ( 1-2 ) 13 - 18 .

Reissig M, Ruzhansky M ( 2013 ) . Preface . Springer Proceedings in Mathematics and Statistics . vol. 44 ,

Reissig M, Ruzhansky M ( 2013 ) . Progress in Partial Differential Equations: Asymptotic Profiles, Regularity and Well-Posednes . Springer Proceedings in Mathematics and Statistics . vol. 44 ,

Ruzhansky M, Sugimoto M ( 2013 ) . Recent Progress in Smoothing Estimates for Evolution Equations . Springer Proceedings in Mathematics & Statistics . vol. 44 , 287 - 302 .

Garetto C, Ruzhansky M ( 2012 ) . On the well-posedness of weakly hyperbolic equations with time-dependent coefficients . Journal of Differential Equations vol. 253 , ( 5 ) 1317 - 1340 .

Ruzhansky M, Sugimoto M ( 2012 ) . Structural Resolvent Estimates and Derivative Nonlinear Schrödinger Equations . Communications in Mathematical Physics vol. 314 , ( 2 ) 281 - 304 .

Ruzhansky M, Sugimoto M, Wang B ( 2012 ) . Modulation Spaces and Nonlinear Evolution Equations . Evolution Equations of Hyperbolic and Schrödinger Type , vol. 301 , Springer Nature

Ruzhansky M, Turunen V ( 2012 ) . Global Quantization of Pseudo-Differential Operators on Compact Lie Groups, SU(2), 3-sphere, and Homogeneous Spaces . International Mathematics Research Notices vol. 2013 , ( 11 ) 2439 - 2496 .

Ruzhansky M, Sugimoto M ( 2012 ) . Smoothing properties of evolution equations via canonical transforms and comparison principle . Proceedings of the London Mathematical Society vol. 105 , ( 2 ) 393 - 423 .

Sugimoto M, Ruzhansky M ( 2005 ) . A Smoothing Property of Schrödinger Equations and a Global Existence Result for Derivative Nonlinear Equations . Conference: Advances in Analysis315 - 320 .

Ruzhansky M, Wirth J ( 2010 ) . Analytical, geometrical and numerical methods in Clifford- and Cayley-Dickson algebras . Conference: Progress in Analysis and Its Applications203 - 203 .

RUZHANSKY M, SUGIMOTO M ( 2012 ) . COMPARISON OF ESTIMATES FOR DISPERSIVE EQUATIONS . 486 - 494 .

Ruzhansky M, Wirth J ( 2010 ) . Clifford and quaternion analysis . Conference: Progress in Analysis and Its Applications171 - 171 .

Ruzhansky M, Wirth J ( 2010 ) . Complex variables and potential theory . Conference: Progress in Analysis and Its Applications1 - 1 .

Ruzhansky M, Wirth J ( 2010 ) . Control and optimisation of nonlinear evolutionary systems . Conference: Progress in Analysis and Its Applications355 - 356 .

MATSUYAMA T, RUZHANSKY M ( 2012 ) . DISPERSION AND ASYMPTOTIC PROFILES FOR KIRCHHOFF EQUATIONS . 234 - 243 .

Ruzhansky M, Wirth J ( 2010 ) . Differential equations: Complex and functional analytic methods, applications . Conference: Progress in Analysis and Its Applications65 - 65 .

Ruzhansky M, Wirth J ( 2010 ) . Dispersive equations . Conference: Progress in Analysis and Its Applications323 - 323 .

Ruzhansky M, Wirth J ( 2010 ) . Dynamical systems . Conference: Progress in Analysis and Its Applications521 - 521 .

Ruzhansky M, Wirth J ( 2010 ) . Functional differential and difference equations . Conference: Progress in Analysis and Its Applications545 - 546 .

Ruzhansky M, Wirth J ( 2010 ) . Modern aspects of the theory of integral transforms . Conference: Progress in Analysis and Its Applications287 - 288 .

Ruzhansky M, Wirth J ( 2010 ) . Reproducing kernels and related topics . Conference: Progress in Analysis and Its Applications247 - 247 .

Ruzhansky M, Wirth J ( 2010 ) . Stochastic analysis . Conference: Progress in Analysis and Its Applications379 - 380 .

Ruzhansky M, Wirth J ( 2010 ) . Zeros and gamma lines — value distributions of real and complex functions . Conference: Progress in Analysis and Its Applications121 - 121 .

Ruzhansky M, Sugimoto M, Wang B ( 2012 ) . Modulation spaces and nonlinear evolution equations .

Ruzhansky M ( 2012 ) . Multidimensional decay in the van der Corput lemma . Studia Mathematica vol. 208 , ( 1 ) 1 - 10 .

Ruzhansky M, Sugimoto M ( 2012 ) . Smoothing properties of inhomogeneous equations via canonical transforms . Rendiconti del Seminario Matematico vol. 70 , ( 2 ) 165 - 182 .

Ruzhansky M, Wirth J ( 2011 ) . Dispersive type estimates for Fourier integrals and applications to hyperbolic systems . Discrete and Continuous Dynamical Systems- Series A ( SUPPL. ) 1263 - 1270 .

Ruzhansky M, Sugimoto M, Toft J, Tomita N ( 2011 ) . Changes of variables in modulation and Wiener amalgam spaces . Mathematische Nachrichten vol. 284 , ( 16 ) 2078 - 2092 .

Ruzhansky M, Wirth J ( 2011 ) . Dispersive estimates for hyperbolic systems with time-dependent coefficients . Journal of Differential Equations vol. 251 , ( 4-5 ) 941 - 969 .

Ruzhansky M, Sugimoto M ( 2011 ) . Weighted Sobolev L2 estimates for a class of Fourier integral operators . Mathematische Nachrichten vol. 284 , ( 13 ) 1715 - 1738 .

Ruzhansky M, Turunen V ( 2011 ) . Sharp Gårding inequality on compact Lie groups . Journal of Functional Analysis vol. 260 , ( 10 ) 2881 - 2901 .

Ruzhansky M, Wirth J ( 2011 ) . Modern aspects of the theory of partial differential equations . Operator Theory: Advances and Applications . vol. 216 ,

Ruzhansky M, Wirth J ( 2011 ) . Preface .

Matsuyama T, Ruzhansky M ( 2010 ) . Asymptotic integration and dispersion for hyperbolic equations . Advances in Differential Equations vol. 15 , ( 7-8 ) 721 - 756 .

Coriasco S, Ruzhansky M ( 2010 ) . On the boundedness of Fourier integral operators on Lp(Rn) . Comptes Rendus Mathématique vol. 348 , ( 15-16 ) 847 - 851 .

Matsuyama T, Ruzhansky M ( 2010 ) . Asymptotic integration and dispersion for hyperbolic equations . Advances in Differential Equations vol. 15 , ( 7/8 )

Ruzhansky M, Sugimoto M ( 2010 ) . Criteria for Bochner's extension problem . Asymptotic Analysis vol. 66 , ( 3-4 ) 125 - 138 .

Ruzhansky M, Smith J ( 2010 ) . Chapter 1. Introduction . Dispersive and Strichartz Estimates for Hyperbolic Equations with Constant Coefficients , Mathematical Society of Japan (Project Euclid)

Ruzhansky M, Smith J ( 2010 ) . Chapter 2. Main estimates . Dispersive and Strichartz Estimates for Hyperbolic Equations with Constant Coefficients , Mathematical Society of Japan (Project Euclid)

Ruzhansky M, Smith J ( 2010 ) . Chapter 3. Properties of hyperbolic polynomials . Dispersive and Strichartz Estimates for Hyperbolic Equations with Constant Coefficients , Mathematical Society of Japan (Project Euclid)

Ruzhansky M, Smith J ( 2010 ) . Chapter 4. Oscillatory integrals with convexity . Dispersive and Strichartz Estimates for Hyperbolic Equations with Constant Coefficients , Mathematical Society of Japan (Project Euclid)

Ruzhansky M, Smith J ( 2010 ) . Chapter 5. Oscillatory integrals without convexity . Dispersive and Strichartz Estimates for Hyperbolic Equations with Constant Coefficients , Mathematical Society of Japan (Project Euclid)

Ruzhansky M, Smith J ( 2010 ) . Chapter 6. Decay of solutions to the Cauchy problem . Dispersive and Strichartz Estimates for Hyperbolic Equations with Constant Coefficients , Mathematical Society of Japan (Project Euclid)

Ruzhansky M, Smith J ( 2010 ) . Chapter 7. Frequencies around multiplicities . Dispersive and Strichartz Estimates for Hyperbolic Equations with Constant Coefficients , Mathematical Society of Japan (Project Euclid)

Ruzhansky M, Smith J ( 2010 ) . Chapter 8. Examples and extensions . Dispersive and Strichartz Estimates for Hyperbolic Equations with Constant Coefficients , Mathematical Society of Japan (Project Euclid)

Ruzhansky M, Wirth J ( 2010 ) . Erratum: Dispersive estimates for 7-dependent hyperbolic systems (Rendiconti Seminario Matematico Università Politecnico Torino (2008) 66:4 (339-349) . Rendiconti del Seminario Matematico vol. 68 , ( 1 )

Ruzhansky M, Turunen V ( 2010 ) . Pseudo-Differential Operators and Symmetries, Background Analysis and Advanced Topics . Springer Nature

Ruzhansky M, Turunen V ( 2009 ) . Quantization of Pseudo-differential Operators on the Torus . Journal of Fourier Analysis and Applications vol. 16 , ( 6 ) 943 - 982 .

Ruzhansky M, Turunen V ( 2009 ) . On the Toroidal Quantization of Periodic Pseudo-Differential Operators . Numerical Functional Analysis and Optimization vol. 30 , ( 9-10 ) 1098 - 1124 .

Matsuyama T, Ruzhansky M ( 2009 ) . Time decay for hyperbolic equations with homogeneous symbols . Comptes Rendus Mathématique vol. 347 , ( 15-16 ) 915 - 919 .

Ruzhansky M ( 2009 ) . Pointwise van der Corput lemma for functions of several variables . Functional Analysis and Its Applications vol. 43 , ( 1 ) 75 - 77 .

Ruzhansky M, Smith J ( 2008 ) . Global time estimates for solutions to equations of dissipative type . Journées Équations aux dérivées partielles1 - 29 .

Ruzhansky M, Wirth J ( 2008 ) . Dispersive estimates for T-dependent hyperbolic systems . Rendiconti del Seminario Matematico . vol. 66 , 339 - 349 .

Ruzhansky M ( 2008 ) . On Local and Global Regularity of Fourier Integral Operators . Operator Theory: Advances and Applications . 185 - 200 .

Ruzhansky M, Turunen V ( 2008 ) . On Pseudo-Differential Operators on Group SU(2) . Operator Theory: Advances and Applications . 307 - 322 .

Ruzhansky M, Smith J ( 2007 ) . Dispersive and Strichartz estimates for hyperbolic equations with constant coefficients .

Ruzhansky MV ( 2007 ) . Estimates for Fourier integral operators with complex-valued phase functions . Russian Mathematical Surveys vol. 56 , ( 1 ) 174 - 175 .

Ruzhanskii MV, Sugimoto M ( 2007 ) . Global L2 estimates for a class of Fourier integral operators with symbols in Besov spaces . Russian Mathematical Surveys vol. 58 , ( 5 ) 1044 - 1046 .

Ruzhansky MV ( 2007 ) . On singularities of affine fibrations of certain types . Russian Mathematical Surveys vol. 55 , ( 2 ) 353 - 354 .

Ruzhansky MV ( 2007 ) . Regularity of the parametrix of a problem with oblique derivative . Russian Mathematical Surveys vol. 56 , ( 6 ) 1179 - 1180 .

Ruzhansky MV ( 2007 ) . Singularities of affine fibrations in the regularity theory of Fourier integral operators . Russian Mathematical Surveys vol. 55 , ( 1 ) 93 - 161 .

Kamotski I, Ruzhansky M ( 2007 ) . Regularity Properties, Representation of Solutions, and Spectral Asymptotics of Systems with Multiplicities . Communications in Partial Differential Equations vol. 32 , ( 1 ) 1 - 35 .

Ruzhansky M, Turunen V ( 2007 ) . On the Fourier Analysis of Operators on the Torus . Operator Theory: Advances and Applications . vol. 172 , 87 - 105 .

Ruzhansky M, Sugimoto M ( 2006 ) . Smoothing estimates for evolution equations via canonical transforms and comparison .

Ruzhansky M, Sugimoto M ( 2006 ) . Global L 2-Boundedness Theorems for a Class of Fourier Integral Operators . Communications in Partial Differential Equations vol. 31 , ( 4 ) 547 - 569 .

Fomin VN, Ruzhansky MV ( 2006 ) . Abstract Optimal Linear Filtering . SIAM Journal on Control and Optimization vol. 38 , ( 5 ) 1334 - 1352 .

Ruzhansky M, Sugimoto M ( 2006 ) . A smoothing property of Schrödinger equations in the critical case . Mathematische Annalen vol. 335 , ( 3 ) 645 - 673 .

Ruzhansky M, Sugimoto M ( 2006 ) . Global Calculus of Fourier Integral Operators, Weighted Estimates, and Applications to Global Analysis of Hyperbolic Equations . Operator Theory: Advances and Applications . vol. 164 , 65 - 78 .

Kamotski I, Ruzhansky M ( 2006 ) . Representation of Solutions and Regularity Properties for Weakly Hyperbolic Systems . Operator Theory: Advances and Applications . vol. 164 , 53 - 63 .

Kamotski IV, Ruzhansky MV ( 2005 ) . Estimates and Spectral Asymptotics for Systems with Multiplicities . Functional Analysis and Its Applications vol. 39 , ( 4 ) 308 - 310 .

Камоцкий ИВ, Kamotskii IV, Камоцкий ИВ, Kamotskii IV, Ружанский МВ, Ruzhansky MV ( 2005 ) . Оценки и спектральные асимптотики для систем с кратностью . Functional Analysis and Its Applications vol. 39 , ( 4 ) 78 - 80 .

Ruzhansky M, Sugimoto M ( 2004 ) . A New Proof of Global SmoothingEstimates for Dispersive Equations . Operator Theory: Advances and Applications . 65 - 75 .

Ruzhansky M . Recent progress in the regularity theory of Fourier integrals with real and complex phases and solutions to partial differential equations . Banach Center Publications . Conference: Evolution Equations Propagation Phenomena - Global Existence - Influence of Non-Linearities151 - 160 .

Сугимото М, Sugimoto M, Ружанский МВ, Ruzhansky MV ( 2003 ) . Глобальные оценки в $L^2$ для класса интегральных операторов Фурье с символами из пространств Бесова . Russian Mathematical Surveys vol. 58 , ( 5 ) 201 - 202 .

Pushnitski AB, Ruzhansky MV ( 2002 ) . Spectral Shift Function of the Schrödinger Operator in the Large Coupling Constant Limit . Functional Analysis and Its Applications vol. 36 , ( 3 ) 250 - 252 .

Pushnitski A, Ruzhansky M ( 2002 ) . SPECTRAL SHIFT FUNCTION OF THE SCHRÖDINGER OPERATOR IN THE LARGE COUPLING CONSTANT LIMIT. II. POSITIVE PERTURBATIONS . Communications in Partial Differential Equations vol. 27 , ( 7-8 ) 1373 - 1405 .

Пушницкий АБ, Pushnitskii AB, Ружанский МВ, Ruzhansky MV ( 2002 ) . Функция спектрального сдвига оператора Шрeдингера в пределе большой константы связи . Functional Analysis and Its Applications vol. 36 , ( 3 ) 93 - 95 .

Ruzhansky M ( 2001 ) . On the failure of the factorization condition for non-degenerate Fourier integral operators . Proceedings of the American Mathematical Society vol. 130 , ( 5 ) 1371 - 1376 .

Ruzhansky M ( 2001 ) . On uniform properties of doubling measures . Proceedings of the American Mathematical Society vol. 129 , ( 11 ) 3413 - 3416 .

Ruzhansky M ( 2001 ) . Estimates for Pseudo-differential and Hyperbolic Differential Equations via Fourier Integrals with Complex Phases . International Series of Numerical Mathematics . 831 - 839 .

Ружанский МВ, Ruzhansky MV ( 2001 ) . Оценки для интегральных операторов Фурье с комплекснозначными фазовыми функциями . Russian Mathematical Surveys vol. 56 , ( 1 ) 177 - 178 .

Ружанский МВ, Ruzhansky MV ( 2001 ) . Регулярность параметрикса задачи с косой производной . Russian Mathematical Surveys vol. 56 , ( 6 ) 137 - 138 .

Fomin V, Ruzhansky M ( 2000 ) . Some results in abstract optimal linear filtering . Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference . Conference: Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187) vol. 5 ,

Ружанский МВ, Ruzhansky MV ( 2000 ) . Об особенностях аффинных слоений некоторых типов . Russian Mathematical Surveys vol. 55 , ( 2 ) 149 - 150 .

Ружанский МВ, Ruzhansky MV ( 2000 ) . Особенности аффинных слоений в теории регулярности интегральных операторов Фурье . Russian Mathematical Surveys vol. 55 , ( 1 ) 99 - 170 .

RUZHANSKY M ( 1999 ) . On the sharpness of Seeger-Sogge-Stein orders . Hokkaido Mathematical Journal vol. 28 , ( 2 ) 357 - 362 .

Ruzhansky M ( 1999 ) . Analytic Fourier integral operators, Monge-Ampère equation and holomorphic factorization . Archiv der Mathematik vol. 72 , ( 1 ) 68 - 76 .

Ruzhansky M ( 1999 ) . Holomorphic Factorization for the Solution Operators for Hyperbolic Equations . Hyperbolic Problems: Theory, Numerics, Applications , Springer Nature

Gusev SV, Ruzhanski MV ( 1996 ) . Design of minimum-time optimal motion of multisectional manipulator . JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL vol. 34 , ( 5 ) 60 - 69 .