Skip to main content
Research

Publications: Prof Michael Ruzhansky

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 .
Borikhanov MB, Ruzhansky M, Torebek BT ( 2022 ) . The Fujita exponent for a semilinear heat equation with forcing term on Heisenberg Group .
Chatzakou M, Ruzhansky M, Tokmagambetov N ( 2022 ) . The Heat Equation with Singular Potentials. II: Hypoelliptic Case . Acta Applicandae Mathematicae vol. 179 , ( 1 )
Borikhanov MB, Ruzhansky M, Torebek BT ( 2022 ) . Qualitative properties of solutions to the nonlinear time-space fractional diffusion equation .
Ghosh S, Kumar V, Ruzhansky M ( 2022 ) . Compact Embeddings, Eigenvalue Problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups .
Kumar M, Kumar V, Ruzhansky M ( 2022 ) . Titchmarsh theorems on Damek-Ricci spaces via moduli of continuity of higher order .
Ruzhansky M, Safarov AR, Khasanov GA ( 2022 ) . Uniform estimates for oscillatory integrals with homogeneous polynomial phases of degree 4 .
Dasgupta A, Ruzhansky M, Tushir A ( 2022 ) . Discrete Time-Dependent Wave Equations II. Semiclassical Fractional Klein-Gordon Equation .
Cardona D, Ruzhansky M ( 2022 ) . Björk-Sjölin condition for strongly singular convolution operators on graded Lie groups .
Ruzhansky M, Sabitbek B ( 2022 ) . Blow-up solutions of damped Klein-Gordon equation on the Heisenberg group .
Cardona D, Delgado J, Ruzhansky M ( 2022 ) . Drift diffusion equations with fractional diffusion on compact Lie groups .
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 .
Ruzhansky M, Shriwastawa A, Tiwari B ( 2022 ) . A note on best constants for Weighted Integral Hardy inequalities on homogeneous groups .
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, Theory, Methods and Applications 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 .
Karimov E, Ruzhansky M, Tokmagambetov N ( 2022 ) . Cauchy type problems for fractional differential equations . Integral Transforms and Special Functions vol. 33 , ( 1 ) 47 - 64 .
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
Kumar V, Ruzhansky M ( 2022 ) . HARDY-LITTLEWOOD INEQUALITY AND Lp-Lq FOURIER MULTIPLIERS ON COMPACT HYPERGROUPS . Journal of Lie Theory
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
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 .
Kumar V, Ruzhansky M ( 2021 ) . Lp-Lq Boundedness of (k, a)-Fourier Multipliers with Applications to Nonlinear Equations . International Mathematics Research Notices
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, 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 .
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 ,
Kumar V, Ruzhansky M ( 2021 ) . $L^p$-$L^q$ Multipliers on commutative hypergroups .
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, (2021), 27, 2, (15), 10.1007/s00041-021-09817-2) . Journal of Fourier Analysis and Applications vol. 27 , ( 4 )
Kumar V, Ruzhansky M ( 2021 ) . Titchmarsh theorems, Hausdorff-Young-Paley inequality and $L^p$-$L^q$ boundedness of Fourier multipliers on harmonic $NA$ groups .
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 .
Ruzhansky M, Verma D ( 2021 ) . Hardy inequalities on metric measure spaces, II: The case p > q . Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences vol. 477 , ( 2250 )
Chatzakou M, Kassymov A, Ruzhansky M ( 2021 ) . Logarithmic Sobolev inequalities on Lie groups .
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
Chatzakou M, Ruzhansky M, Tokmagambetov N ( 2021 ) . Fractional Schrödinger equations with singular potentials of higher order. II: Hypoelliptic case .
Ruzhansky M, Sabitbek B, Torebek B ( 2021 ) . Global existence and blow-up of solutions to porous medium equation and pseudo-parabolic equation, I. Stratified Groups .
Cardona D, Delgado J, Ruzhansky M ( 2021 ) . Dixmier traces, Wodzicki residues, and determinants on compact Lie groups: the paradigm of the global quantisation .
Chatzakou M, Ruzhansky M, Tokmagambetov N ( 2021 ) . Fractional Klein-Gordon equation with singular mass. II: Hypoelliptic case .
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
Dasgupta A, Ruzhansky M, Tushir A ( 2021 ) . Discrete time-dependent wave equations I. Semiclassical 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, 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, Verma D ( 2021 ) . Hardy inequalities on metric measure spaces, II: The case $p>q$ .
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 ,
Fischer V, Ruzhansky M, Taranto CA ( 2021 ) . Subelliptic Gevrey spaces . Mathematische Nachrichten vol. 294 , ( 2 ) 265 - 285 .
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, Ruzhansky M ( 2021 ) . Fourier multipliers for Triebel-Lizorkin spaces on graded Lie groups .
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
Akylzhanov R, Kuznetsova Y, Ruzhansky M, Zhang H ( 2021 ) . Norms of certain functions of the Laplace operator on the $ax+b$ groups .
Ruzhansky M, Yessirkegenov N ( 2021 ) . Critical Gagliardo-Nirenberg, Trudinger, Brezis-Gallouet-Wainger inequalities on graded groups and ground states . Communications in Contemporary Mathematics
Ruzhansky M, Serikbaev D, Torebek BT, Tokmagambetov N ( 2021 ) . Direct and inverse problems for time-fractional pseudo-parabolic equations . Quaestiones Mathematicae
Ruzhansky M, Yessirkegenov N ( 2021 ) . Factorizations and Hardy–Rellich inequalities on stratified groups . Journal of Spectral Theory vol. 10 , ( 4 ) 1361 - 1411 .
Cardona D, Ruzhansky M ( 2021 ) . Fourier multipliers for Triebel–Lizorkin spaces on compact Lie groups . Collectanea Mathematica
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 )
Kirilov A, de Moraes WAA, Ruzhansky M ( 2021 ) . Global Properties of Vector Fields on Compact Lie Groups in Komatsu Classes . Zeitschrift fur Analysis und ihre Anwendung vol. 40 , ( 4 ) 425 - 451 .
Ashyralyev A, Kalmenov TS, Ruzhansky MV, Sadybekov MA, Suragan D ( 2021 ) . Preface . Springer Proceedings in Mathematics and Statistics . vol. 351 , v - vi .
Cardona D, Delgado J, Ruzhansky M ( 2020 ) . Determinants and Plemelj-Smithies formulas .
Ruzhansky M, Sabitbek B, Suragan D ( 2020 ) . Geometric Hardy and Hardy-Sobolev inequalities on Heisenberg groups . Bulletin of Mathematical Sciences vol. 10 , ( 3 )
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 .
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 .
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 )
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 .
Cardona D, Ruzhansky M ( 2020 ) . Subelliptic pseudo-differential operators and Fourier integral operators on compact Lie groups .
Ruzhansky M, Sabitbek B, Suragan D ( 2020 ) . Principal frequency of p-sub-Laplacians for general vector fields .
Ruzhansky M, Suragan D ( 2020 ) . 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 .
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
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
Kassymov A, Ruzhansky M, Tokmagambetov N, Torebek BT ( 2020 ) . Sobolev, Hardy, Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg type inequalities for some fractional derivatives .
Kassymov A, Ruzhansky M, Torebek BT ( 2020 ) . Rayleigh-Faber-Krahn, Lyapunov and Hartmann-Wintner inequalities for fractional elliptic problems .
Restrepo JE, Ruzhansky M, Suragan D ( 2020 ) . Explicit solutions for linear variable-coefficient fractional differential equations with respect to functions .
Altybay A, Ruzhansky M, Tokmagambetov N ( 2020 ) . A parallel hybrid implementation of the 2D acoustic wave equation .
Garetto C, Jäh C, Ruzhansky M ( 2020 ) . Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, II: microlocal analysis . Journal of Differential Equations
Botchway LNA, Gaël Kibiti P, Ruzhansky M ( 2020 ) . Difference equations and pseudo-differential operators on Z<sup>n</sup> . Journal of Functional Analysis vol. 278 , ( 11 )
Ruzhansky M, Suragan D, Yessirkegenov N ( 2020 ) . Euler semigroup, Hardy-Sobolev and Gagliardo-Nirenberg type inequalities on homogeneous groups . Semigroup Forum
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 .
Altybay A, Ruzhansky M, Sebih ME, Tokmagambetov N ( 2020 ) . Tsunami propagation for singular topographies .
Ruzhansky M, Hasanov A ( 2020 ) . Self-similar solutions of some model degenerate partial differential equations of the second, third and fourth order .
Ruzhansky M, Yessirkegenov N ( 2020 ) . A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups .
Ruzhansky M, Serikbaev D, Tokmagambetov N, Torebek BT ( 2020 ) . Direct and Inverse problems for time-fractional pseudo-parabolic equations .
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, Torebek BT ( 2020 ) . Van der Corput lemmas for Mittag-Leffler functions. II. $\alpha$-directions .
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 Mathematiques vol. 160 ,
Altybay A, Ruzhansky M, Sebih ME, Tokmagambetov N ( 2020 ) . Fractional Klein-Gordon equation with singular mass .
Altybay A, Ruzhansky M, Sebih ME, Tokmagambetov N ( 2020 ) . Fractional Schrödinger Equation with singular potentials of higher-order .
Altybay A, Ruzhansky M, Sebih ME, Tokmagambetov N ( 2020 ) . The heat equation with strongly singular potentials .
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 ) . Hardy and Rellich inequalities for anisotropic p-sub-Laplacians . Banach Journal of Mathematical Analysis vol. 14 , ( 2 ) 380 - 398 .
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 .
Ruzhansky M, Torebek BT ( 2020 ) . Van der Corput lemmas for Mittag-Leffler functions .
Ruzhansky M, Sadybekov M, Suragan D ( 2020 ) . Spectral Geometry of Partial Differential Operators .
Akylzhanov R, Ruzhansky M ( 2020 ) . L p -L q multipliers on locally compact groups . Journal of Functional Analysis vol. 278 , ( 3 )
Esposito M, Ruzhansky M ( 2020 ) . Pseudo-differential operators with nonlinear quantizing functions . Proceedings of the Royal Society of Edinburgh Section A: Mathematics vol. 150 , ( 1 ) 103 - 130 .
Kumar V, Ruzhansky M ( 2020 ) . Hausdorff-Young inequality for Orlicz spaces on compact homogeneous manifolds . Indagationes Mathematicae
Garetto C, Jäh C, Ruzhansky M ( 2020 ) . Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, II: microlocal analysis .
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, 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 .
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 .
Rottensteiner D, Ruzhansky M ( 2020 ) . The harmonic oscillator on the heisenberg group . Comptes Rendus Mathematique vol. 358 , ( 5 ) 609 - 614 .
Mamaeva SN, Kononova IV, Ruzhansky M, Nikiforov PV, Nikolaevа NA, Pavlov AN, Fedorova NF, 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 .
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 .
Kassymov A, Ruzhansky M, Suragan D ( 2019 ) . Reverse integral Hardy inequality on metric measure spaces .
Cardona D, Delgado J, Ruzhansky M ( 2019 ) . $L^p$-bounds for pseudo-differential operators on graded Lie 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
Kirilov A, de Moraes WAA, Ruzhansky M ( 2019 ) . Global properties of vector fields on compact Lie groups in Komatsu classes .
Kirilov A, de Moraes WAA, Ruzhansky M ( 2019 ) . Global hypoellipticity and global solvability for vector fields on compact Lie groups .
Kirilov A, de Moraes WAA, Ruzhansky M ( 2019 ) . Partial Fourier series on compact Lie groups .
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 .
Măntoiu M, Ruzhansky M ( 2019 ) . Quantizations on Nilpotent Lie Groups and Algebras Having Flat Coadjoint Orbits . Journal of Geometric Analysis vol. 29 , ( 3 ) 2823 - 2861 .
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
Delgado J, Ruzhansky M ( 2019 ) . L P-BOUNDS for PSEUDO-DIFFERENTIAL OPERATORS on COMPACT LIE GROUPS . Journal of the Institute of Mathematics of Jussieu vol. 18 , ( 3 ) 531 - 559 .
Daher R, Delgado J, Ruzhansky M ( 2019 ) . Titchmarsh theorems for Fourier transforms of Hölder–Lipschitz functions on compact homogeneous manifolds . Monatshefte fur Mathematik vol. 189 , ( 1 ) 23 - 49 .
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 )
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 .
Ruzhansky M, Sabitbek B, Suragan D ( 2019 ) . Weighted anisotropic Hardy and Rellich type inequalities for general vector fields . Nonlinear Differential Equations and Applications vol. 26 , ( 2 )
Ruzhansky M, Verma D ( 2019 ) . Hardy inequalities on metric measure spaces . Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences vol. 475 , ( 2223 )
Ozawa T, Ruzhansky M, Suragan D ( 2019 ) . L <sup>p</sup> -Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups . Quarterly Journal of Mathematics vol. 70 , ( 1 ) 305 - 318 .
Matsuyama T, Ruzhansky M ( 2019 ) . On the Gevrey well-posedness of the Kirchhoff equation . Journal d'Analyse Mathematique vol. 137 , ( 1 ) 449 - 468 .
Ruzhansky M, Yessirkegenov N ( 2019 ) . Rellich inequalities for sub-laplacians with drift . Proceedings of the American Mathematical Society vol. 147 , ( 3 ) 1335 - 1349 .
Muñoz JC, Ruzhansky M, Tokmagambetov N ( 2019 ) . Wave propagation with irregular dissipation and applications to acoustic problems and shallow waters . Journal des Mathematiques Pures et Appliquees vol. 123 , 127 - 147 .
Akylzhanov R, Liflyand E, Ruzhansky M ( 2019 ) . Re-expansions on compact Lie groups .
Ruzhansky M, Sabitbek B, Suragan D ( 2019 ) . Geometric Hardy inequalities on starshaped sets .
Ruzhansky M, Velasquez-Rodriguez JP ( 2019 ) . Non-harmonic Gohberg's lemma, Gershgorin theory and heat equation on manifolds with boundary .
Cardona D, Ruzhansky M ( 2019 ) . Boundedness of pseudo-differential operators in subelliptic Sobolev and Besov spaces on compact Lie groups .
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 ) . Critical Hardy inequalities . Annales Academiae Scientiarum Fennicae Mathematica vol. 44 , ( 2 ) 1159 - 1174 .
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 .
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, 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 .
Ruzhansky M, Yessirkegenov N ( 2019 ) . New progress on weighted Trudinger–Moser and Gagliardo–Nirenberg, and critical hardy inequalities on stratified groups . Applied and Numerical Harmonic Analysis ,
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 .
Ruzhansky M, Tokmagambetov N, Torebek BT ( 2018 ) . Inverse source problems for positive operators. I. Hypoelliptic diffusion and subdiffusion equations .
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 ) . Existence and non-existence of global solutions for semilinear heat equations and inequalities on sub-Riemannian manifolds, and Fujita exponent on unimodular Lie groups .
Ruzhansky M, Tokmagambetov N, Torebek BT ( 2018 ) . On a non-local problem for a multi-term fractional diffusion-wave equation .
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 .
Chatzakou M, Delgado J, Ruzhansky M ( 2018 ) . On a class of anharmonic oscillators .
Ruzhansky M, Sabitbek B, Suragan D ( 2018 ) . Geometric Hardy and Hardy-Sobolev inequalities on Heisenberg groups .
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 .
Ruzhansky M, Yessirkegenov N ( 2018 ) . Very weak solutions to hypoelliptic wave equations .
Kassymov A, Ruzhansky M, Suragan D ( 2018 ) . Hardy-Littlewood-Sobolev and Stein-Weiss inequalities on homogeneous Lie groups .
Ruzhansky M, Yessirkegenov N ( 2018 ) . Hardy, Hardy-Sobolev, Hardy-Littlewood-Sobolev and Caffarelli-Kohn-Nirenberg inequalities on general Lie groups .
Avetisyan Z, Grigoryan M, Ruzhansky M ( 2018 ) . Approximations in $L^1$ with convergent Fourier series .
Cardona D, Ruzhansky M ( 2018 ) . Hörmander condition for pseudo-multipliers associated to the harmonic oscillator .
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 .
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 .
Ruzhansky M, Sabitbek B, Suragan D ( 2018 ) . Weighted anisotropic Hardy and Rellich type inequalities for general vector fields .
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 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 .
Kassymov A, Ruzhansky M, Suragan D ( 2018 ) . Anisotropic fractional Gagliardo-Nirenberg, weighted Caffarelli-Kohn-Nirenberg and Lyapunov-type inequalities, and applications to Riesz potentials and $p$-sub-Laplacian systems .
Ruzhansky M, Sabitbek B, Suragan D ( 2018 ) . Subelliptic geometric Hardy type inequalities on half-spaces and convex domains .
Ruzhansky M, Suragan D ( 2018 ) . A NOTE ON STABILITY OF HARDY INEQUALITIES . ANNALS OF FUNCTIONAL ANALYSIS vol. 9 , ( 4 ) 451 - 462 .
Ruzhansky M, Verma D ( 2018 ) . Hardy inequalities on metric measure spaces .
Delgado J, Ruzhansky M ( 2018 ) . Fourier multipliers, symbols, and nuclearity on compact manifolds . Journal d'Analyse Mathematique vol. 135 , ( 2 ) 757 - 800 .
Fischer V, Ruzhansky M, Taranto CA ( 2018 ) . Subelliptic Gevrey spaces .
Ruzhansky M, Suragan D ( 2018 ) . A comparison principle for nonlinear heat Rockland operators on graded groups .
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, Suragan D, Yessirkegenov N ( 2018 ) . Euler semigroup, Hardy-Sobolev and Gagliardo-Nirenberg type inequalities on homogeneous groups .
Ruzhansky M, Yessirkegenov N ( 2018 ) . Hypoelliptic functional inequalities .
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 M, Dutta H, Agarwal RP ( 2018 ) . Preface .
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 ) . Hardy and Rellich inequalities for anisotropic p-sub-Laplacians .
Ruzhansky M, Yessirkegenov N ( 2018 ) . Hardy, weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg type inequalities on Riemannian manifolds with negative curvature .
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, 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, Tokmagambetov N ( 2018 ) . Convolution, Fourier analysis, and distributions generated by Riesz bases . Monatshefte fur Mathematik vol. 187 , ( 1 ) 147 - 170 .
Garetto C, Jäh C, Ruzhansky M ( 2018 ) . Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, I. Well-posedness .
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 .
Ружанский МВ, Ruzhansky MV, Токмагамбетов НЕ, 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 ) 790 - 793 .
Delgado J, Ruzhansky M ( 2018 ) . The bounded approximation property of variable lebesgue spaces and nuclearity . Mathematica Scandinavica vol. 122 , ( 2 ) 299 - 319 .
Ruzhansky M, Suragan D ( 2017 ) . Isoperimetric inequalities for some integral operators arising in potential theory .
Ruzhansky M, Tokmagambetov N ( 2017 ) . On nonlinear damped wave equations for positive operators. I. Discrete spectrum .
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 .
Ruzhansky M, Suragan D ( 2017 ) . A note on stability of Hardy inequalities .
Garetto C, Ruzhansky M ( 2017 ) . On C<sup>∞</sup> well-posedness of hyperbolic systems with multiplicities . Annali di Matematica Pura ed Applicata vol. 196 , ( 5 ) 1819 - 1834 .
Ruzhansky M, Yessirkegenov N ( 2017 ) . Critical Gagliardo-Nirenberg, Trudinger, Brezis-Gallouet-Wainger inequalities on graded groups and ground states .
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 )
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, Yessirkegenov N ( 2017 ) . Caffarelli-Kohn-Nirenberg and Sobolev type inequalities on stratified Lie groups .
Ruzhansky M, Suragan D ( 2017 ) . Geometric maximizers of Schatten norms of some convolution type integral operators .
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 .
Ruzhansky M, Sabitbek B, Suragan D ( 2017 ) . Weighted $L^p$-Hardy and $L^p$-Rellich inequalities with boundary terms on stratified Lie groups .
Ruzhansky M, Yessirkegenov N ( 2017 ) . Rellich inequalities for sub-Laplacians with drift .
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 ) 505 - 540 .
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 ( 2017 ) . Green's identities, comparison principle and uniqueness of positive solutions for nonlinear $p$-sub-Laplacian equations on stratified Lie groups .
Ruzhansky M, Yessirkegenov N ( 2017 ) . Factorizations and Hardy-Rellich inequalities on stratified groups .
Dasgupta A, Ruzhansky M ( 2017 ) . Erratum to: The Gohberg Lemma, compactness, and essential spectrum of operators on compact Lie groups (JOURNAL D’ANALYSE MATHÉMATIQUE, (2016), 128, (179-190), 10.1007/S11854-016-0005-0) . Journal d'Analyse Mathematique vol. 132 , ( 1 )
Delgado J, Ruzhansky M, Tokmagambetov N ( 2017 ) . Schatten classes, nuclearity and nonharmonic analysis on compact manifolds with boundary . Journal des Mathematiques Pures et Appliquees vol. 107 , ( 6 ) 758 - 783 .
Akylzhanov R, Majid S, Ruzhansky M ( 2017 ) . Smooth dense subalgebras and Fourier multipliers on compact quantum groups .
Botchway LNA, Kibiti PG, Ruzhansky M ( 2017 ) . Difference equations and pseudo-differential operators on $\mathbb{Z}^n$ .
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<sup>p</sup>-weighted Hardy inequalities . Comptes Rendus Mathematique vol. 355 , ( 6 ) 694 - 698 .
Ruzhansky M, Taranto C-A ( 2017 ) . Time-dependent wave equations on graded groups .
Ruzhansky M, Tokmagambetov N ( 2017 ) . Wave equation for operators with discrete spectrum and irregular propagation speed .
Munoz JC, Ruzhansky M, Tokmagambetov N ( 2017 ) . Wave propagation with irregular dissipation and applications to acoustic problems and shallow waters .
Laptev A, Ruzhansky M, Yessirkegenov N ( 2017 ) . Hardy inequalities for Landau Hamiltonian and for Baouendi-Grushin operator with Aharonov-Bohm type magnetic field. Part I .
Matsuyama T, Ruzhansky M ( 2017 ) . The Kirchhoff Equation with Gevrey Data . 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 .
Ruzhansky M, Tokmagambetov N, Yessirkegenov N ( 2017 ) . Best constants in Sobolev and Gagliardo-Nirenberg inequalities on graded groups and ground states for higher order nonlinear subelliptic equations .
Cardona D, Ruzhansky M ( 2017 ) . Multipliers for Besov spaces on graded Lie groups . Comptes Rendus Mathematique vol. 355 , ( 4 ) 400 - 405 .
Ruzhansky M, Tokmagambetov N ( 2017 ) . Very weak solutions of wave equation for Landau Hamiltonian with irregular electromagnetic field . Letters in Mathematical Physics vol. 107 , ( 4 ) 591 - 618 .
Ruzhansky M, Tokmagambetov N ( 2017 ) . Nonlinear damped wave equations for the sub-Laplacian on the Heisenberg group and for Rockland operators on graded Lie groups .
Garofalo N, Ruzhansky M, Suragan D ( 2017 ) . On Green functions for Dirichlet sub-Laplacians on H-type groups .
Daher R, Delgado J, Ruzhansky M ( 2017 ) . Titchmarsh theorems for Fourier transforms of Hölder-Lipschitz functions on compact homogeneous manifolds .
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 L<sup>2</sup>-weighted Hardy and L<sup>2</sup>-Caffarelli-Kohn-Nirenberg inequalities . Communications in Contemporary Mathematics vol. 19 , ( 6 )
Karimov E, Mamchuev M, Ruzhansky M ( 2017 ) . Non-local initial problem for second order time-fractional and space-singular equation .
Ruzhansky M, Suragan D, Yessirkegenov N ( 2017 ) . Extended Caffarelli-Kohn-Nirenberg inequalities, and remainders, stability, and superweights for $L^{p}$-weighted Hardy inequalities .
Ruzhansky M, Suragan D, Yessirkegenov N ( 2017 ) . Hardy-Littlewood, Bessel-Riesz, and fractional integral operators in anisotropic Morrey and Campanato spaces .
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 .
Ruzhansky M, Suragan D ( 2017 ) . Isoperimetric Inequalities for Some Integral Operators Arising in Potential Theory . Springer Proceedings in Mathematics and Statistics . vol. 216 , 320 - 329 .
Ruzhansky M, Tokmagambetov N ( 2017 ) . Nonharmonic analysis of boundary value problems without WZ condition . Mathematical Modelling of Natural Phenomena vol. 12 , ( 1 ) 115 - 140 .
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 .
Agarwal P, Karimov E, Mamchuev M, Ruzhansky M ( 2017 ) . On boundary-value problems for a partial differential equation with caputo and bessel operators . Applied and Numerical Harmonic Analysis ,
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 , ( 8 ) 28 - 32 .
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 .
Kalmenov TS, Nursultanov ED, Ruzhansky MV, Sadybekov MA ( 2017 ) . Preface . Springer Proceedings in Mathematics and Statistics . vol. 216 , v - vii .
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 .
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 .
Mantoiu M, Ruzhansky M ( 2016 ) . Quantizations on Nilpotent Lie Groups and Algebras Having Flat Coadjoint Orbits .
Ruzhansky M, Tokmagambetov N ( 2016 ) . Very weak solutions of wave equation for Landau Hamiltonian with irregular electromagnetic field .
Ruzhansky M, Tokmagambetov N ( 2016 ) . Convolution, Fourier analysis, and distributions generated by Riesz bases .
Agarwal P, Karimov E, Mamchuev M, Ruzhansky M ( 2016 ) . On boundary-value problems for a partial differential equation with Caputo and Bessel operators .
Ruzhansky M, Suragan D ( 2016 ) . Anisotropic $L^{2}$-weighted Hardy and $L^{2}$-Caffarelli-Kohn-Nirenberg inequalities .
Cardona D, Ruzhansky M ( 2016 ) . Littlewood-Paley theorem, Nikolskii inequality, Besov spaces, Fourier and spectral multipliers on graded Lie groups .
Ruzhansky M, Suragan D, Yessirkegenov N ( 2016 ) . Sobolev type inequalities, Euler-Hilbert-Sobolev and Sobolev-Lorentz-Zygmund spaces on homogeneous groups .
Ruzhansky M, Tokmagambetov N ( 2016 ) . Nonharmonic analysis of boundary value problems without WZ condition .
Ruzhansky M, Tokmagambetov N ( 2016 ) . Wave equation for 2D Landau Hamiltonian .
Delgado J, Ruzhansky M, Wang B ( 2016 ) . Approximation property and nuclearity on mixed-norm L<sup>p</sup>, modulation and Wiener amalgam spaces . Journal of the London Mathematical Society vol. 94 , ( 2 ) 391 - 408 .
Akylzhanov RK, Nursultanov ED, Ruzhansky MV ( 2016 ) . Hardy–Littlewood–Paley-type inequalities on compact Lie groups . Mathematical Notes vol. 100 , ( 1-2 ) 309 - 312 .
Akylzhanov R, Ruzhansky M ( 2016 ) . Fourier multipliers and group von Neumann algebras . Comptes Rendus Mathematique vol. 354 , ( 8 ) 766 - 770 .
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 .
Ruzhansky M, Sugimoto M ( 2016 ) . Smoothing estimates for non-dispersive equations . Mathematische Annalen vol. 365 , ( 1-2 ) 241 - 269 .
Akylzhanov R, Ruzhansky M ( 2016 ) . Fourier multipliers and group von Neumann algebras .
Ruzhansky M, Suragan D ( 2016 ) . On horizontal Hardy, Rellich, Caffarelli-Kohn-Nirenberg and $p$-sub-Laplacian inequalities on stratified groups .
Ozawa T, Ruzhansky M, Suragan D ( 2016 ) . $L^{p}$-Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups .
Rozenblum G, Ruzhansky M, Suragan D ( 2016 ) . Isoperimetric inequalities for Schatten norms of Riesz potentials . Journal of Functional Analysis vol. 271 , ( 1 ) 224 - 239 .
Ruzhansky M, Suragan D ( 2016 ) . Uncertainty relations on nilpotent Lie groups .
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 .
Ruzhansky M, Suragan D ( 2016 ) . Hardy and Rellich inequalities, identities, and sharp remainders on homogeneous groups .
Ruzhansky M, Suragan D ( 2016 ) . Critical Hardy inequalities .
Ruzhansky M, Suragan D ( 2016 ) . Isoperimetric inequalities for the logarithmic potential operator . Journal of Mathematical Analysis and Applications vol. 434 , ( 2 ) 1676 - 1689 .
Ruzhansky M, Suragan D ( 2016 ) . 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 .
Dasgupta A, Ruzhansky M ( 2016 ) . The Gohberg Lemma, compactness, and essential spectrum of operators on compact Lie groups . Journal d'Analyse Mathematique vol. 128 , ( 1 ) 179 - 190 .
Ruzhansky M, Suragan D ( 2016 ) . Local Hardy and Rellich inequalities for sums of squares of vector fields .
Ruzhansky MV, Suragan D ( 2016 ) . Communications of the Moscow mathematical society: On Schatten norms of convolution-type integral operators . Russian Mathematical Surveys vol. 71 , ( 1 ) 157 - 158 .
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 des Mathematiques Pures et Appliquees vol. 105 , ( 1 ) 31 - 65 .
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 .
Akylzhanov R, Nursultanov E, Ruzhansky M ( 2016 ) . Hardy-littlewood-paley inequalities and fourier multipliers on SU(2) . Studia Mathematica vol. 234 , ( 1 ) 1 - 29 .
Fischer V, Ruzhansky M ( 2016 ) . Homogeneous lie groups . Progress in Mathematics , vol. 314 ,
Nursultanov E, Ruzhansky M, Tikhonov S ( 2016 ) . Nikolskii inequality and besov, triebel-lizorkin, wiener and beurling spaces on compact homogeneous manifolds . Annali della Scuola normale superiore di Pisa - Classe di scienze vol. 16 , ( 3 ) 981 - 1017 .
Ruzhansky M, Tokmagambetov N ( 2016 ) . Nonharmonic analysis of boundary value problems . International Mathematics Research Notices vol. 2016 , ( 12 ) 3548 - 3615 .
Ruzhansky M, Tikhonov S ( 2016 ) . Preface .
Berdyshev A, Kalimoldayev M, Ruzhansky M ( 2016 ) . Preface to the Special Issue on Mathematical modelling in applied sciences . Open Engineering vol. 6 , ( 1 )
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 .
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 ,
Ружанский МВ, Ruzhansky MV, Сураган Д, Suragan D ( 2016 ) . Schatten norms of integral operators of convolution type . Успехи математических наук vol. 71 , ( 1(427) ) 169 - 170 .
Ruzhansky M, Tikhonov S ( 2016 ) . Some problems in fourier analysis and approximation theory . Applied and Numerical Harmonic Analysis ,
Garetto C, Ruzhansky M ( 2015 ) . On $C^\infty$ well-posedness of hyperbolic systems with multiplicities .
Ruzhansky M, Suragan D ( 2015 ) . Layer potentials, Green's formulae, Kac's problem, and refined Hardy inequality on homogeneous Carnot groups .
Akylzhanov R, Ruzhansky M ( 2015 ) . $L^p$-$L^q$ multipliers on locally compact groups .
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 .
Garetto C, Ruzhansky M ( 2015 ) . On hyperbolic systems with time dependent Hölder characteristics .
Ruzhansky M, Wirth J ( 2015 ) . L<sup>p</sup> Fourier multipliers on compact Lie groups . Mathematische Zeitschrift vol. 280 , ( 3-4 ) 621 - 642 .
Matsuyama T, Ruzhansky M ( 2015 ) . On the Gevrey well-posedness of the Kirchhoff equation .
Nursultanov ED, Ruzhansky MV, Tikhonov SY ( 2015 ) . Nikolskii inequality and functional classes on compact Lie groups .
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 .
Garetto C, Ruzhansky M ( 2015 ) . Hyperbolic Second Order Equations with Non-Regular Time Dependent Coefficients . Archive for Rational Mechanics and Analysis vol. 217 , ( 1 ) 113 - 154 .
Rozenblum G, Ruzhansky M, Suragan D ( 2015 ) . Isoperimetric inequalities for Schatten norms of Riesz potentials .
Mantoiu M, Ruzhansky M ( 2015 ) . Pseudo-differential operators, Wigner transform and Weyl systems on type I locally compact groups .
Garetto C, Ruzhansky M ( 2015 ) . Wave equation for sums of squares on compact Lie groups . Journal of Differential Equations vol. 258 , ( 12 ) 4324 - 4347 .
Delgado J, Ruzhansky M, Tokmagambetov N ( 2015 ) . Schatten classes, nuclearity and nonharmonic analysis on compact manifolds with boundary .
Akylzhanov R, Nursultanov E, Ruzhansky M ( 2015 ) . Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and Lp-Lq Fourier multipliers on compact homogeneous manifolds .
Ruzhansky M, Tokmagambetov N ( 2015 ) . Nonharmonic analysis of boundary value problems .
Ruzhansky M, Suragan D ( 2015 ) . On Kac's principle of not feeling the boundary for the Kohn Laplacian on the Heisenberg group .
Ruzhansky M, Suragan D ( 2015 ) . Isoperimetric inequalities for the logarithmic potential operator .
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 .
Нурсултанов ЕД, Nursultanov ED, Ружанский МВ, Ruzhansky MV, Тихонов СЮ, Tikhonov SY ( 2015 ) . Nikolskii Inequality and Functional Classes on Compact Lie Groups . Functional Analysis and Its Applications vol. 49 , ( 3 ) 83 - 87 .
Ruzhansky M, Sugimoto M ( 2015 ) . On global inversion of homogeneous maps . Bulletin of Mathematical Sciences vol. 5 , ( 1 ) 13 - 18 .
Mityushev V, Ruzhansky M ( 2015 ) . Preface .
Ruzhansky M, Sugimoto M ( 2015 ) . Trace theorems: Critical cases and best constants . Proceedings of the American Mathematical Society vol. 143 , ( 1 ) 227 - 237 .
Matsuyama T, Ruzhansky M ( 2014 ) . Global Well-Posedness of the Kirchhoff Equation and Kirchhoff Systems . Analytic Methods in Interdisciplinary Applications , vol. 116 ,
Matsuyama T, Ruzhansky M ( 2014 ) . Global well-posedness of the Kirchhoff equation and Kirchhoff systems .
Delgado J, Ruzhansky M ( 2014 ) . Kernel and symbol criteria for Schatten classes and r-nuclearity on compact manifolds . Comptes Rendus Mathematique vol. 352 , ( 10 ) 779 - 784 .
Delgado J, Ruzhansky M ( 2014 ) . Schatten classes on compact manifolds: Kernel conditions . Journal of Functional Analysis vol. 267 , ( 3 ) 772 - 798 .
Ruzhansky M, Wirth J ( 2014 ) . Global functional calculus for operators on compact Lie groups . Journal of Functional Analysis vol. 267 , ( 1 ) 144 - 172 .
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 .
Nursultanov E, Ruzhansky M, Tikhonov S ( 2014 ) . Nikolskii inequality and Besov, Triebel-Lizorkin, Wiener and Beurling spaces on compact homogeneous manifolds .
Akylzhanov R, Nursultanov E, Ruzhansky M ( 2014 ) . Hardy-Littlewood inequalities and Fourier multipliers on SU(2) .
Garetto C, Ruzhansky M ( 2014 ) . Wave equation for sums of squares on compact Lie groups .
Fischer V, Ruzhansky M ( 2014 ) . A pseudo-differential calculus on the Heisenberg group . Comptes Rendus Mathematique vol. 352 , ( 3 ) 197 - 204 .
Coriasco S, Ruzhansky M ( 2014 ) . Global L<sup>p</sup> continuity of fourier integral operators . Transactions of the American Mathematical Society vol. 366 , ( 5 ) 2575 - 2596 .
Damanik D, Ruzhansky M, Vougalter V, Wong MW, Molahajloo S ( 2014 ) . A characterization of compact SG pseudo-differential operators on L <sup>2</sup>(<sup>n</sup>) . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 239 - 243 .
Damanik D, Ruzhansky M, Vougalter V, Wong MW, 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 .
Fischer V, Ruzhansky M ( 2014 ) . A pseudo-differential calculus on graded nilpotent Lie groups . Trends in Mathematics . vol. 63 , 107 - 132 .
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 .
Damanik D, Ruzhansky M, Vougalter V, Wong MW, Zinchenko M ( 2014 ) . CMV matrices with super exponentially decaying verblunsky coefficients . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 282 - 294 .
Damanik D, Ruzhansky M, Vougalter V, Wong MW, 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 .
Damanik D, Ruzhansky M, Vougalter V, Wong MW, Labate D, Laezza F, Negi P, Ozcan B et al. ( 2014 ) . Efficient processing of fluorescence images using directional multiscale representations . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 177 - 193 .
Damanik D, Ruzhansky M, Vougalter V, Wong MW, Adami R, Noja D ( 2014 ) . Exactly solvable models and bifurcations: The case of the cubic NLS with a or a interaction in dimension one . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 1 - 16 .
Dasgupta A, Ruzhansky M ( 2014 ) . Gevrey functions and ultradistributions on compact Lie groups and homogeneous spaces . Bulletin des Sciences Mathematiques vol. 138 , ( 6 ) 756 - 782 .
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 .
Damanik D, Ruzhansky M, Vougalter V, Wong MW, Ramm AG ( 2014 ) . Inverse scattering problem with underdetermined data . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 244 - 253 .
Damanik D, Ruzhansky M, Vougalter V, Wong MW, Catana V ( 2014 ) . L<sup>p</sup>-boundedness of multilinear pseudo-differential operators on Z<sup>n</sup> and T<sup>n</sup> . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 17 - 38 .
Delgado J, Ruzhansky M ( 2014 ) . L<sup>p</sup>-nuclearity, traces, and Grothendieck-Lidskii formula on compact Lie groups . Journal des Mathematiques Pures et Appliquees vol. 102 , ( 1 ) 153 - 172 .
Damanik D, Ruzhansky M, Vougalter V, Wong MW, Li J, Wong MW ( 2014 ) . Localization operators for ridgelet transforms . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 194 - 203 .
Ruzhansky M, Turunen V ( 2014 ) . Preface .
Damanik D, Ruzhansky M, Vougalter V, Wong MW, 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 .
Damanik D, Ruzhansky M, Vougalter V, Wong MW, 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 .
Damanik D, Ruzhansky M, Vougalter V, Wong MW, Stoiciu M ( 2014 ) . Spectral properties of random and deterministic CMV matrices . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 270 - 281 .
Damanik D, Ruzhansky M, Vougalter V, Wong MW, Duan X ( 2014 ) . Spectral theory of the hermite operator on L <sup>p</sup>(R<sup>n</sup>) . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 39 - 43 .
Damanik D, Ruzhansky M, Vougalter V, Wong MW, 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 .
Damanik D, Ruzhansky M, Vougalter V, Wong MW, 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 .
Damanik D, Ruzhansky M, Vougalter V, Wong MW, Han B ( 2014 ) . The projection method for multidimensional framelet and wavelet analysis . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 83 - 110 .
Damanik D, Ruzhansky M, Vougalter V, Wong MW, 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 .
Damanik D, Ruzhansky M, Vougalter V, Wong MW, Mei M, Yessen W ( 2014 ) . Tridiagonal substitution hamiltonians . Mathematical Modelling of Natural Phenomena vol. 9 , ( 5 ) 204 - 238 .
Cruz-Uribe D, Fiorenza A, Ruzhansky M, Wirth J ( 2014 ) . Variable Lebesgue Spaces and Hyperbolic Systems .
Garetto C, Ruzhansky M ( 2013 ) . Hyperbolic second order equations with non-regular time dependent coefficients .
Garetto C, Ruzhansky M ( 2013 ) . Weakly hyperbolic equations with non-analytic coefficients and lower order terms . Mathematische Annalen vol. 357 , ( 2 ) 401 - 440 .
Matsuyama T, Ruzhansky M ( 2013 ) . Global well-posedness of Kirchhoff systems . Journal des Mathematiques Pures et Appliquees vol. 100 , ( 2 ) 220 - 240 .
Matsuyama T, Ruzhansky M ( 2013 ) . Scattering for strictly hyperbolic systems with time-dependent coefficients . Mathematische Nachrichten vol. 286 , ( 11-12 ) 1191 - 1207 .
Garetto C, Ruzhansky M ( 2013 ) . On weakly hyperbolic equations with analytic principal part .
Ruzhansky M ( 2013 ) . An open problem in complex analytic geometry arising in harmonic analysis . Mathematical Modelling of Natural Phenomena vol. 8 , ( 1 ) 230 - 236 .
Gramchev T, Ruzhansky M ( 2013 ) . Cauchy problem for some 2 × 2 hyperbolic systems of pseudo-differential equations with nondiagonalisable principal part . vol. 84 , 129 - 145 .
Ruzhansky M, Turunen V ( 2013 ) . 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 .
Fischer V, Ruzhansky M ( 2013 ) . Lower bounds for operators on graded Lie groups . Comptes Rendus Mathematique vol. 351 , ( 1-2 ) 13 - 18 .
Ruzhansky MV, Wirth J ( 2013 ) . On multipliers on compact Lie groups . Functional Analysis and its Applications vol. 47 , ( 1 ) 72 - 75 .
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 and Statistics . vol. 44 , 287 - 302 .
Matsuyama T, Ruzhansky M ( 2012 ) . Global well-posedness of Kirchhoff systems .
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 ( 2012 ) . Smoothing properties of evolution equations via canonical transforms and comparison principle . Proceedings of the London Mathematical Society vol. 105 , ( 2 ) 393 - 423 .
Ruzhansky M ( 2012 ) . Multidimensional decay in the van der Corput lemma . Studia Mathematica vol. 208 , ( 1 ) 1 - 10 .
Garetto C, Ruzhansky M ( 2012 ) . Weakly hyperbolic equations with non-analytic coefficients and lower order terms .
Ruzhansky M, Sugimoto M, Wang B ( 2012 ) . Modulation spaces and nonlinear evolution equations .
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 ( 2011 ) . Weighted Sobolev L<sup>2</sup> estimates for a class of Fourier integral operators . Mathematische Nachrichten vol. 284 , ( 13 ) 1715 - 1738 .
Ruzhansky M, Wirth J ( 2011 ) . Dispersive estimates for hyperbolic systems with time-dependent coefficients . Journal of Differential Equations vol. 251 , ( 4-5 ) 941 - 969 .
Garetto C, Ruzhansky M ( 2011 ) . On the well-posedness of weakly hyperbolic equations with time dependent coefficients .
Ruzhansky M, Turunen V ( 2011 ) . Sharp Gårding inequality on compact Lie groups . Journal of Functional Analysis vol. 260 , ( 10 ) 2881 - 2901 .
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 ) . 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 .
Ruzhansky M, Turunen V ( 2010 ) . Quantization of Pseudo-differential Operators on the Torus . Journal of Fourier Analysis and Applications vol. 16 , ( 6 ) 943 - 982 .
Matsuyama T, Ruzhansky M ( 2010 ) . A necessary and sufficient condition on scattering for the regularly hyperbolic systems .
Coriasco S, Ruzhansky M ( 2010 ) . On the boundedness of Fourier integral operators on L<sup>p</sup>(R<sup>n</sup>) . Comptes Rendus Mathematique vol. 348 , ( 15-16 ) 847 - 851 .
Ruzhansky M, Turunen V ( 2010 ) . Sharp Garding inequality on compact Lie groups .
Ruzhansky M, Wirth J ( 2010 ) . Control and optimisation of nonlinear evolutionary systems . Conference: Progress in Analysis and Its Applications355 - 356 .
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, Turunen V, Wirth J ( 2010 ) . Hormander class of pseudo-differential operators on compact Lie groups and global hypoellipticity .
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 ,
Ruzhansky M, Smith J ( 2010 ) . Chapter 2. Main estimates . Dispersive and Strichartz Estimates for Hyperbolic Equations with Constant Coefficients ,
Ruzhansky M, Smith J ( 2010 ) . Chapter 3. Properties of hyperbolic polynomials . Dispersive and Strichartz Estimates for Hyperbolic Equations with Constant Coefficients ,
Ruzhansky M, Smith J ( 2010 ) . Chapter 4. Oscillatory integrals with convexity . Dispersive and Strichartz Estimates for Hyperbolic Equations with Constant Coefficients ,
Ruzhansky M, Smith J ( 2010 ) . Chapter 5. Oscillatory integrals without convexity . Dispersive and Strichartz Estimates for Hyperbolic Equations with Constant Coefficients ,
Ruzhansky M, Smith J ( 2010 ) . Chapter 6. Decay of solutions to the Cauchy problem . Dispersive and Strichartz Estimates for Hyperbolic Equations with Constant Coefficients ,
Ruzhansky M, Smith J ( 2010 ) . Chapter 7. Frequencies around multiplicities . Dispersive and Strichartz Estimates for Hyperbolic Equations with Constant Coefficients ,
Ruzhansky M, Smith J ( 2010 ) . Chapter 8. Examples and extensions . Dispersive and Strichartz Estimates for Hyperbolic Equations with Constant Coefficients ,
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 .
Coriasco S, Ruzhansky M ( 2009 ) . Global Lp continuity of Fourier integral operators .
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 Mathematique 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, SUGIMOTO M ( 2009 ) . COMPARISON OF ESTIMATES FOR DISPERSIVE EQUATIONS . 486 - 494 .
Ruzhansky M ( 2009 ) . On local and global regularity of Fourier integral operators . Operator Theory: Advances and Applications . vol. 189 , 185 - 200 .
Ruzhansky M, Turunen V ( 2009 ) . On pseudo-differential operators on group SU(2) . Operator Theory: Advances and Applications . vol. 189 , 307 - 322 .
Ruzhansky M, Turunen V ( 2008 ) . Global quantization of pseudo-differential operators on compact Lie groups, SU(2) and 3-sphere .
Ruzhansky M, Turunen V ( 2008 ) . Quantization of pseudo-differential operators on the torus .
Ruzhansky M, Sugimoto M, Toft J, Tomita N ( 2008 ) . Changes of variables in modulation and Wiener amalgam spaces .
Ruzhansky M, Turunen V ( 2008 ) . On pseudo-differential operators on group SU(2) .
Ruzhansky M, Wirth J ( 2008 ) . Dispersive estimates for T-dependent hyperbolic systems . Rendiconti del Seminario Matematico . vol. 66 , 339 - 349 .
Ruzhansky M, Smith J ( 2007 ) . Dispersive and Strichartz estimates for hyperbolic equations with constant coefficients .
Matsuyama T, Ruzhansky M ( 2007 ) . Asymptotic integration and dispersion for hyperbolic equations .
MATSUYAMA T, RUZHANSKY M ( 2007 ) . DISPERSION AND ASYMPTOTIC PROFILES FOR KIRCHHOFF EQUATIONS . 234 - 243 .
Ruzhansky M, Turunen V ( 2007 ) . On the Fourier Analysis of Operators on the Torus . vol. 172 , 87 - 105 .
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 ( 2006 ) . On the Fourier analysis of operators on the torus .
Ruzhansky M, Sugimoto M ( 2006 ) . Smoothing estimates for evolution equations via canonical transforms and comparison .
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 L<sup>2</sup>-boundedness theorems for a class of fourier integral operators . Communications in Partial Differential Equations vol. 31 , ( 4 ) 547 - 569 .
Ruzhansky M, Sugimoto M ( 2006 ) . Global Calculus of Fourier Integral Operators, Weighted Estimates, and Applications to Global Analysis of Hyperbolic Equations . vol. 164 , 65 - 78 .
Kamotski I, Ruzhansky M ( 2006 ) . Representation of Solutions and Regularity Properties for Weakly Hyperbolic Systems . 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 .
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 .
Камоцкий ИВ, Kamotskii IV, Камоцкий ИВ, Kamotskii IV, Ружанский МВ, Ruzhansky MV ( 2005 ) . Estimates and Spectral Asymptotics for Systems with Multiplicities . Functional Analysis and Its Applications vol. 39 , ( 4 ) 78 - 80 .
Ruzhansky M, Smith J ( 2005 ) . Global time estimates for solutions to equations of dissipative type . Journées Équations aux dérivées partielles1 - 29 .
Kamotski I, Ruzhansky M ( 2004 ) . Regularity properties, representation of solutions and spectral asymptotics of systems with multiplicities .
Ruzhansky M, Sugimoto M ( 2004 ) . A New Proof of Global SmoothingEstimates for Dispersive Equations . 65 - 75 .
Ruzhanskii MV, Sugimoto M ( 2003 ) . Global L <sup>2</sup> estimates for a class of Fourier integral operators with symbols in Besov spaces . Russian Mathematical Surveys vol. 58 , ( 5 ) 1044 - 1046 .
Ruzhansky M ( 2003 ) . L <inf>P</inf>-distributions on symmetric spaces . Results in Mathematics vol. 44 , ( 1-2 ) 159 - 168 .
Сугимото М, Sugimoto M, Ружанский МВ, Ruzhansky MV ( 2003 ) . Global $L^2$ estimates for a class of Fourier integral operators with symbols in Besov spaces . Успехи математических наук vol. 58 , ( 5 ) 201 - 202 .
Ruzhansky M ( 2003 ) . 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 .
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 .
Ruzhansky M ( 2002 ) . Sharp estimates for a class of hyperbolic pseudo-differential equations . Results in Mathematics vol. 41 , ( 3-4 ) 361 - 368 .
Ruzhansky M ( 2002 ) . On the failure of the factorization condition for non-degenerate Fourier integral operators . Proceedings of the American Mathematical Society vol. 130 , ( 5 ) 1371 - 1376 .
Пушницкий АБ, Pushnitskii AB, Ружанский МВ, Ruzhansky MV ( 2002 ) . Spectral Shift Function of the Schrödinger Operator in the Large Coupling Constant Limit . Functional Analysis and Its Applications vol. 36 , ( 3 ) 93 - 95 .
Ruzhanskii MV ( 2001 ) . Estimates for Fourier integral operators with complex-valued phase functions . Russian Mathematical Surveys vol. 56 , ( 1 ) 174 - 175 .
Ruzhanskii MV ( 2001 ) . Regularity of the parametrix of a problem with oblique derivative . Russian Mathematical Surveys vol. 56 , ( 6 ) 1179 - 1180 .
Ружанский МВ, Ruzhansky MV ( 2001 ) . Estimates for Fourier integral operators with complex-valued phase functions . Успехи математических наук vol. 56 , ( 1 ) 177 - 178 .
Ruzhansky M ( 2001 ) . Estimates for Pseudo-differential and Hyperbolic Differential Equations via Fourier Integrals with Complex Phases . 831 - 839 .
Ruzhansky M ( 2001 ) . On uniform properties of doubling measures . Proceedings of the American Mathematical Society vol. 129 , ( 11 ) 3413 - 3416 .
Ружанский МВ, Ruzhansky MV ( 2001 ) . Regularity of the parametrix of a problem with oblique derivative . Успехи математических наук vol. 56 , ( 6 ) 137 - 138 .
Ruzhansky MV ( 2000 ) . On singularities of affine fibrations of certain types . Russian Mathematical Surveys vol. 55 , ( 2 ) 353 - 354 .
Ruzhansky MV ( 2000 ) . Singularities of affine fibrations in the regularity theory of Fourier integral operators . Russian Mathematical Surveys vol. 55 , ( 1 ) 93 - 161 .
Fomin V, Ruzhansky M ( 2000 ) . Some results in abstract optimal linear filtering . Proceedings of the IEEE Conference on Decision and Control . vol. 5 , 4284 - 4289 .
Fomin VN, Ruzhansky MV ( 2000 ) . Abstract optimal linear filtering . SIAM Journal on Control and Optimization vol. 38 , ( 5 ) 1334 - 1352 .
Ружанский МВ, Ruzhansky MV ( 2000 ) . On singularities of affine fibrations of certain types . Успехи математических наук vol. 55 , ( 2 ) 149 - 150 .
Ружанский МВ, Ruzhansky MV ( 2000 ) . Singularities of affine fibrations in the regularity theory of Fourier integral operators . Успехи математических наук vol. 55 , ( 1 ) 99 - 170 .
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 ,
Ruzhansky M ( 1999 ) . On the sharpness of Seeger-Sogge-Stein orders . Hokkaido Mathematical Journal vol. 28 , ( 2 ) 357 - 362 .