Michael Ruzhansky

Research interests

Publications

• Inverse source problems for positive operators. I: Hypoelliptic diffusion and subdiffusion equations

  Journal of Inverse and Ill-Posed Problems · 2019 · 10.1515/jiip-2019-0031

• Hardy Inequalities on Homogeneous Groups

  Progress in mathematics · 2019 · 10.1007/978-3-030-02895-4

• Layer potentials, Kac's problem, and refined Hardy inequality on homogeneous Carnot groups

  Advances in Mathematics · 2017 · 10.1016/j.aim.2016.12.013

• Advances in Real and Complex Analysis with Applications

  Trends in mathematics · 2017 · 10.1007/978-981-10-4337-6

• Hardy and Rellich inequalities, identities, and sharp remainders on homogeneous groups

  Advances in Mathematics · 2017 · 10.1016/j.aim.2017.07.020

• Wave Equation for Operators with Discrete Spectrum and Irregular Propagation Speed

  Archive for Rational Mechanics and Analysis · 2017 · 10.1007/s00205-017-1152-x

• 1002028.pdf

  BiblioBoard Library Catalog (Open Research Library) · 2016 · https://doi.org/10.1007/978-3-319-29558-9

• Quantization on Nilpotent Lie Groups

  Progress in mathematics · 2016 · 10.1007/978-3-319-29558-9

• On horizontal Hardy, Rellich, Caffarelli–Kohn–Nirenberg and p-sub-Laplacian inequalities on stratified groups

  Journal of Differential Equations · 2016 · 10.1016/j.jde.2016.10.028

• Schatten classes, nuclearity and nonharmonic analysis on compact manifolds with boundary

  Journal de Mathématiques Pures et Appliquées · 2016 · 10.1016/j.matpur.2016.10.005

• Very weak solutions of wave equation for Landau Hamiltonian with irregular electromagnetic field

  Letters in Mathematical Physics · 2016 · 10.1007/s11005-016-0919-6

• $$L^p$$ L p Fourier multipliers on compact Lie groups

  Mathematische Zeitschrift · 2015 · 10.1007/s00209-015-1440-9

• Nonharmonic Analysis of Boundary Value Problems

  International Mathematics Research Notices · 2015 · 10.1093/imrn/rnv243

• Schatten classes on compact manifolds: Kernel conditions

  Journal of Functional Analysis · 2014 · 10.1016/j.jfa.2014.04.016

• Hormander class of pseudo-differential operators on compact Lie groups and global hypoellipticity

  · 2014

• Lp-Nuclearity, traces, and Grothendieck-Lidskii formula on compact Lie groups

  · 2013 · 10.48550/arxiv.1303.4792

• Lp -nuclearity, traces, and Grothendieck–Lidskii formula on compact Lie groups

  Journal de Mathématiques Pures et Appliquées · 2013 · 10.1016/j.matpur.2013.11.005

• Global Quantization of Pseudo-Differential Operators on Compact Lie Groups, SU(2), 3-sphere, and Homogeneous Spaces

  International Mathematics Research Notices · 2012 · 10.1093/imrn/rns122

• Modulation Spaces and Nonlinear Evolution Equations

  Progress in mathematics · 2012 · 10.1007/978-3-0348-0454-7_14

• Changes of variables in modulation and Wiener amalgam spaces

  Mathematische Nachrichten · 2011 · 10.1002/mana.200910199

• Pseudo-Differential Operators and Symmetries

  Birkhäuser Basel eBooks · 2009 · https://doi.org/10.1007/978-3-7643-8514-9

• Pseudo-Differential Operators and Symmetries: Background Analysis and Advanced Topics

  Journal · 2009 · https://doi.org/10.1007/978-3-7643-8514-9

• Quantization of Pseudo-differential Operators on the Torus

  Journal of Fourier Analysis and Applications · 2009 · 10.1007/s00041-009-9117-6

• On the Fourier Analysis of Operators on the Torus

  Birkhäuser Basel eBooks · 2006 · 10.1007/978-3-7643-8116-5_5

• Global L 2-Boundedness Theorems for a Class of Fourier Integral Operators

  Communications in Partial Differential Equations · 2006 · 10.1080/03605300500455958

Current projects

No projects listed.