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Vishvesh Kumar
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-Boundedness and -Nuclearity of Multilinear Pseudo-differential Operators on and the Torus
D Cardona, V Kumar
Journal of Fourier Analysis and Applications 25 (6), 2973-3017, 2019
382019
L p -Lq Boundedness of (k, a)-Fourier Multipliers with Applications to Nonlinear Equations
V Kumar, M Ruzhansky
International Mathematics Research Notices 2023 (2), 1073-1093, 2023
302023
Multilinear analysis for discrete and periodic pseudo-differential operators in Lp-spaces
D Cardona, V Kumar
Revista Integración 36 (2), 151-164, 2018
202018
Compact embeddings, eigenvalue problems, and subelliptic Brezis–Nirenberg equations involving singularity on stratified Lie groups
S Ghosh, V Kumar, M Ruzhansky
Mathematische Annalen 388 (4), 4201-4249, 2024
192024
Dixmier traces for discrete pseudo-differential operators
D Cardona, C del Corral, V Kumar
Journal of Pseudo-Differential Operators and Applications 11 (2), 647-656, 2020
162020
Pseudo-differential operators on homogeneous spaces of compact and Hausdorff groups
V Kumar
Forum Mathematicum 31 (2), 275-282, 2019
152019
-algebras, -algebras and trace ideals of pseudo-differential operators on locally compact, Hausdorff and abelian groups
V Kumar, MW Wong
Journal of Pseudo-Differential Operators and Applications 10 (2), 269-283, 2019
142019
Hardy-Littlewood inequality and - Fourier multipliers on compact hypergroups
V Kumar, M Ruzhansky
arXiv preprint arXiv:2005.08464, 2020
132020
Orlicz spaces on hypergroups
V Kumar, S Ritumoni, NS Kumar
PUBLICATIONES MATHEMATICAE-DEBRECEN 94 (1-2), 31-47, 2019
132019
- Boundedness of Fourier Multipliers Associated with the Anharmonic Oscillator
M Chatzakou, V Kumar
Journal of Fourier Analysis and Applications 29 (6), 73, 2023
112023
Ellipticity and Fredholmness of pseudo-differential operators on ℓ² (ℤⁿ)
A Dasgupta, V Kumar
Proceedings of the American Mathematical Society 150 (7), 2849-2860, 2022
102022
Hilbert-Schmidt and Trace class pseudo-differential operators on the abstract Heisenberg group
A Dasgupta, V Kumar
Journal of Mathematical Analysis and Applications 486 (2), 123936, 2020
102020
The Hausdorff-Young inequality for Orlicz spaces on compact hypergroups
V Kumar, R Sarma
Colloquium Mathematicum 160 (1), 41-51, 2020
102020
Symmetry of positive solutions for Lane-Emden systems involving the Logarithmic Laplacian
R Zhang, V Kumar, M Ruzhansky
Acta Applicandae Mathematicae 188 (1), 16, 2023
82023
Symbolic calculus and -ellipticity of pseudo-differential operators on
V Kumar, SS Mondal
Analysis and Applications 21 (06), 1447-1475, 2023
82023
Schatten class and nuclear pseudo-differential operators on homogeneous spaces of compact groups
V Kumar, SS Mondal
Monatshefte für Mathematik, 1-28, 2022
82022
- Boundedness of Spectral Multipliers of the Anharmonic Oscillator
M Chatzakou, V Kumar
Comptes Rendus. Mathématique 360 (G4), 343-347, 2022
82022
Multipliers on Vector-valued L1-spaces for Hypergroups
R Sarma, NS Kumar, V Kumar
Acta Mathematica Sinica, English Series 34, 1059-1073, 2018
82018
Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups
S Ghosh, V Kumar, M Ruzhansky
arXiv preprint arXiv:2306.07657, 2023
72023
Trace class and Hilbert-Schmidt pseudo differential operators on step two nilpotent Lie groups
V Kumar, SS Mondal
Bulletin des Sciences Mathématiques 171, 103015, 2021
72021
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Articles 1–20