Michael Ruzhansky

Applied Mathematics · 2003–2020

A researcher in the Science corpus: 28 papers; trusts 47 researchers and is trusted by 26 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 95 citations into it; #597 of 7,620 by trust here, #461 by citations
• Mathematical Physics — 78 citations into it; #777 of 8,562 by trust here, #482 by citations
• Computational Theory and Mathematics — 37 citations into it
• Numerical Analysis — 22 citations into it
• Computer Vision and Pattern Recognition — 7 citations into it
• Mechanics of Materials — 7 citations into it
• Statistical and Nonlinear Physics — 6 citations into it; #5,983 of 10,127 by trust here, #7,747 by citations

Whom Michael Ruzhansky trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Ville T. Turunen
2. J. Delgado
3. Veronique Fischer
4. Mitsuru Sugimoto
5. S. Molahajloo
6. G. Eskin
7. P. Ciatti
8. Aparajita Dasgupta
9. Karlheinz Gröchenig
10. Rupert L. Frank

Who trusts Michael Ruzhansky overall

1. J. Delgado
2. Veronique Fischer
3. Sandro Coriasco
4. Niyaz Tokmagambetov
5. Elena Cordero
6. Ville T. Turunen
7. Durvudkhan Suragan
8. Fabio Di Nicola
9. J. Toft
10. Stevan Pilipovic

Papers from Michael Ruzhansky's perspective

Ordered by how strongly the researchers Michael Ruzhansky trusts endorse each paper. Same corpus, a different order for every researcher.

1. Quantization of Pseudo-differential Operators on the Torus
2. Modulation Spaces on Locally Compact Abelian Groups
3. Noncommutative Harmonic Analysis
4. GLOBAL $L^2$-BOUNDEDNESS THEOREMS FOR A CLASS OF FOURIER INTEGRAL OPERATORS AND THEIR APPLICATION (Recent Trends in Microlocal Analysis)
5. On the Fourier analysis of operators on the torus
6. Trace ideals and their applications
7. Harmonic Analysis on Semigroups
8. Method of Modern Mathematical Physics
9. Pseudo-Differential Operators on ℤ
10. The analysis of linear partial differential operators

Their papers

• Special Functions and Analysis of Differential Equations (2020) — 63 citations
• $$L^p$$-Bounds for Pseudo-differential Operators on Graded Lie Groups (2019) — 55 citations
• Layer potentials, Kac's problem, and refined Hardy inequality on homogeneous Carnot groups (2017) — 80 citations
• Extended Caffarelli-Kohn-Nirenberg inequalities, and remainders, stability, and superweights for ^{}-weighted Hardy inequalities (2017) — 54 citations
• Hardy and Rellich inequalities, identities, and sharp remainders on homogeneous groups (2016) — 88 citations
• On horizontal Hardy, Rellich, Caffarelli–Kohn–Nirenberg and p-sub-Laplacian inequalities on stratified groups (2016) — 86 citations
• Quantization on Nilpotent Lie Groups (2016) — 366 citations
• $L^{p}$ -BOUNDS FOR PSEUDO-DIFFERENTIAL OPERATORS ON COMPACT LIE GROUPS (2016) — 58 citations
• Schatten classes, nuclearity and nonharmonic analysis on compact manifolds with boundary (2015) — 63 citations
• Nonharmonic Analysis of Boundary Value Problems (2015) — 92 citations
• Kernel and symbol criteria for Schatten classes and r-nuclearity on compact manifolds (2014) — 54 citations
• Nikolskii inequality and Besov, Triebel-Lizorkin, Wiener and Beurling spaces on compact homogeneous manifolds (2014) — 47 citations
• Fourier multipliers, symbols, and nuclearity on compact manifolds (2014) — 57 citations
• Schatten classes on compact manifolds: Kernel conditions☆ (2014) — 82 citations
• The Hardy–Littlewood Maximal Operator (2014) — 126 citations
• Hyperbolic Second Order Equations with Non-Regular Time Dependent Coefficients (2013) — 81 citations
• Global functional calculus for operators on compact Lie groups (2013) — 50 citations
• Schatten classes and traces on compact groups (2013) — 49 citations
• Gevrey functions and ultradistributions on compact Lie groups and homogeneous spaces (2012) — 55 citations
• On the boundedness of Fourier integral operators on (2010) — 55 citations