Publications:  Prof Michael Ruzhansky

Garetto C, Jäh C, Ruzhansky M(2020). Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, II: Microlocal analysis. Journal of Differential Equations vol. 269, (10) 7881-7905.

Botchway LNA, Gaël Kibiti P, Ruzhansky M(2020). Difference equations and pseudo-differential operators on Zⁿ. 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

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

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.

Mamaeva S, Kononova I, Ruzhansky M, Nikiforov P, Nikolaev¿ 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.

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

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.

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

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

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

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.

M¿ntoiu 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 ^p -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.

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, 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, 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). Green’s Identities, Comparison Principle and Uniqueness of Positive Solutions for Nonlinear p-sub-Laplacian Equations on Stratified Lie Groups. Potential Analysis

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

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.

Ruzhansky M, Dutta H(2019). Preface.

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.

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, 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, 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 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.

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

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

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, 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.

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.

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

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

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(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, 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.

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.

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

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, 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.

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.

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,

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.

Matsuyama T, Ruzhansky M (2017). The Kirchhoff Equation with Gevrey Data. NEW TRENDS IN ANALYSIS AND INTERDISCIPLINARY APPLICATIONS. 313-318.

Delgado J, Ruzhansky M, Wang B(2016). Approximation property and nuclearity on mixed-norm L^p, 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.

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 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 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,

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

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 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,

Ruzhansky M, Tikhonov S(2016). Some problems in fourier analysis and approximation theory. Applied and Numerical Harmonic Analysis,

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

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.

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.

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.

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(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.

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^p 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 ²(ⁿ). 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.

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.

Damanik D, Ruzhansky M, Vougalter V, Wong MW, Catana V(2014). L^p-boundedness of multilinear pseudo-differential operators on Zⁿ and Tⁿ. Mathematical Modelling of Natural Phenomena vol. 9, (5) 17-38.

Delgado J, Ruzhansky M(2014). L^p-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 ^p(Rⁿ). 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.

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.

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.

Damanik D, Finkelshtein AM, Iosevich A, Vougalter V, Wang Y, Wong MW, 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.

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.

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.

Ruzhansky M, Sugimoto M, Wang B(2012). Modulation spaces and nonlinear evolution equations. Progress in Mathematics, vol. 301,

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 L² 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.

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.

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)

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

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

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

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, 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 L²-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. PSEUDO-DIFFERENTIAL OPERATORS AND RELATED TOPICS. vol. 164, 65-+.

Kamotski I, Ruzhansky M (2006). Representation of solutions and regularity properties for weakly hyperbolic systems. PSEUDO-DIFFERENTIAL OPERATORS AND RELATED TOPICS. vol. 164, 53-+.

Kamotski IV, Ruzhansky MV(2005). Estimates and spectral asymptotics for systems with multiplicities. Functional Analysis and its Applications vol. 39, (4) 308-310.

Ruzhansky M, Sugimoto M (2004). A new proof of global smoothing estimates for dispersive equations. ADVANCES IN PSEUDO-DIFFERENTIAL OPERATORS. vol. 155, 65-75.

Ruzhansky M(2003). L <inf>P</inf>-distributions on symmetric spaces. Results in Mathematics vol. 44, (1-2) 159-168.

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.

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. HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, VOLS I AND II. vol. 140, 831-839.

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.

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

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