Edit Profile (opens in new tab) Kumar, Vishvesh Co-Author Distance Author ID: kumar.vishvesh Published as: Kumar, Vishvesh External Links: Google Scholar · ResearchGate · MathOverflow Documents Indexed: 61 Publications since 2018, including 21 Additional arXiv Preprints Reviewing Activity: 8 Reviews Co-Authors: 25 Co-Authors with 58 Joint Publications 493 Co-Co-Authors all top 5 Co-Authors 3 single-authored 24 Ruzhansky, Michael V. 11 Mondal, Shyam Swarup 9 Cardona, Duván 7 Sarma, Ritumoni 6 Dasgupta, Aparajita 5 Kumar, Nageswaran Shravan 3 Chatzakou, Marianna 3 Ross, Kenneth A. 3 Singh, Ajit Iqbal 3 Tokmagambetov, Niyaz Esenzholovich 3 Zhang, Rong 2 Delgado, Julio 2 Ghosh, Sekhar 2 Sánchez, Duván Cardona 2 Tabatabaie, Seyyed Mohammad 2 Wong, Man Wah 1 Akbarbaglu, Ibrahim 1 Azimi, Mohammad Reza 1 Bagheri Salec, Alireza 1 Bhardwaj, Arun Kumar 1 Del Corral, César 1 Kassymov, Aidyn Adilovich 1 Kumar, N. Shiravan 1 Mohan, Lalit 1 Restrepo, Joel Esteban all top 5 Serials 4 Semigroup Forum 4 Journal of Pseudo-Differential Operators and Applications 2 Proceedings of the American Mathematical Society 1 Applicable Analysis 1 Journal of Mathematical Analysis and Applications 1 Acta Mathematica Vietnamica 1 Colloquium Mathematicum 1 Journal of Approximation Theory 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Publicationes Mathematicae Debrecen 1 Results in Mathematics 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Asymptotic Analysis 1 Forum Mathematicum 1 IMRN. International Mathematics Research Notices 1 Aequationes Mathematicae 1 Indagationes Mathematicae. New Series 1 Journal of Lie Theory 1 Bulletin des Sciences Mathématiques 1 The Journal of Fourier Analysis and Applications 1 Methods of Functional Analysis and Topology 1 Acta Mathematica Sinica. English Series 1 Journal of the Australian Mathematical Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Analysis and Applications (Singapore) 1 Mediterranean Journal of Mathematics 1 Complex Analysis and Operator Theory 1 Operators and Matrices 1 Annals of Functional Analysis 1 Revista Integración 1 Advances in Operator Theory all top 5 Fields 30 Abstract harmonic analysis (43-XX) 20 Partial differential equations (35-XX) 19 Operator theory (47-XX) 10 Functional analysis (46-XX) 9 Topological groups, Lie groups (22-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Global analysis, analysis on manifolds (58-XX) 3 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 147 times in 52 Documents Cited by ▼ Year ▼ \(L^p\)-boundedness and \(L^p\)-nuclearity of multilinear pseudo-differential operators on \(\mathbb{Z}^n\) and the torus \(\mathbb{T}^n\). Zbl 1429.58036 Cardona, Duván; Kumar, Vishvesh 17 2019 Multilinear analysis for discrete and periodic pseudo-differential operators in \(L^p\)-spaces. Zbl 1426.58007 Cardona, Duván; Kumar, Vishvesh 14 2018 Pseudo-differential operators on homogeneous spaces of compact and Hausdorff groups. Zbl 1419.35267 Kumar, Vishvesh 12 2019 Hilbert-Schmidt and trace class pseudo-differential operators on the abstract Heisenberg group. Zbl 1445.47036 Dasgupta, Aparajita; Kumar, Vishvesh 9 2020 Orlicz spaces on hypergroups. Zbl 1438.43002 Kumar, Vishvesh; Sarma, Ritumoni; Kumar, N. Shravan 7 2019 \(C^*\)-algebras, \(H^*\)-algebras and trace ideals of pseudo-differential operators on locally compact, Hausdorff and abelian groups. Zbl 1497.47074 Kumar, Vishvesh; Wong, M. W. 7 2019 \(L^p\)-\(L^q\) boundedness of \((k,a)\)-Fourier multipliers with applications to nonlinear equations. Zbl 1507.42012 Kumar, Vishvesh; Ruzhansky, Michael 7 2023 Dixmier traces for discrete pseudo-differential operators. Zbl 1503.47065 Cardona, Duván; del Corral, César; Kumar, Vishvesh 7 2020 Nuclearity of operators related to finite measure spaces. Zbl 1497.47065 Kumar, Vishvesh; Mondal, Shyam Swarup 5 2020 The Hausdorff-Young inequality for Orlicz spaces on compact hypergroups. Zbl 1439.43008 Kumar, Vishvesh; Sarma, Ritumoni 5 2020 Trace class and Hilbert-Schmidt pseudo differential operators on step two nilpotent Lie groups. Zbl 1471.35350 Kumar, Vishvesh; Mondal, Shyam Swarup 5 2021 Hypergroup deformations of semigroups. Zbl 1422.43003 Kumar, Vishvesh; Ross, Kenneth A.; Singh, Ajit Iqbal 5 2019 An addendum to “Hypergroup deformations of semigroups”. Zbl 1460.43002 Kumar, Vishvesh; Ross, Kenneth A.; Singh, Ajit Iqbal 5 2019 \(L^p\)-\(L^q\) boundedness of spectral multipliers of the anharmonic oscillator. (\(L^p\)-\(L^q\) continuité des multiplicateurs spectraux de l’oscillateur anharmonique.) Zbl 1487.42023 Chatzakou, Marianna; Kumar, Vishvesh 4 2022 Orlicz spaces and amenability of hypergroups. Zbl 1441.43014 Kumar, Vishvesh 4 2020 Ramsey theory for hypergroups. Zbl 1439.20074 Kumar, Vishvesh; Ross, Kenneth A.; Singh, Ajit Iqbal 4 2020 Multipliers on vector-valued \(L^1\)-spaces for hypergroups. Zbl 1392.43003 Sarma, R.; Kumar, N. Shravan; Kumar, Vishvesh 4 2018 The nuclear trace of periodic vector-valued pseudo-differential operators with applications to index theory. Zbl 1523.42014 Cardona, Duván; Kumar, Vishvesh 3 2021 Ellipticity and Fredholmness of pseudo-differential operators on \(\ell^2(\mathbb{Z}^n)\). Zbl 1491.35472 Dasgupta, Aparajita; Kumar, Vishvesh 3 2022 Schatten class and nuclear pseudo-differential operators on homogeneous spaces of compact groups. Zbl 1481.35423 Kumar, Vishvesh; Mondal, Shyam Swarup 3 2022 Hardy-Littlewood inequality and \(L^p\)-\(L^q\) Fourier multipliers on compact hypergroups. Zbl 1497.43007 Kumar, Vishvesh; Ruzhansky, Michael 3 2022 Hypercyclic sequences of weighted translations on hypergroups. Zbl 07431142 Kumar, Vishvesh; Tabatabaie, Seyyed Mohammad 2 2021 Correction to: “\(C^*\)-algebras, \(H^*\)-algebras and trace ideals of pseudo-differential operators on locally compact, Hausdorff and abelian groups”. Zbl 1497.47075 Kumar, Vishvesh; Wong, M. W. 2 2020 Characterization of multipliers on hypergroups. Zbl 1441.43008 Kumar, Vishvesh; Kumar, N. Shravan; Sarma, Ritumoni 2 2020 Hausdorff-Young inequality for Orlicz spaces on compact homogeneous manifolds. Zbl 1440.46024 Kumar, Vishvesh; Ruzhansky, Michael 2 2020 Topologically transitive sequence of cosine operators on Orlicz spaces. Zbl 1507.47022 Akbarbaglu, Ibrahim; Azimi, Mohammad Reza; Kumar, Vishvesh 1 2021 Global functional calculus, lower/upper bounds and evolution equations on manifolds with boundary. Zbl 07777061 Sánchez, Duván Cardona; Kumar, Vishvesh; Ruzhansky, Michael; Tokmagambetov, Niyaz 1 2023 Unbounded translation invariant operators on commutative hypergroups. Zbl 1449.43006 Kumar, Vishvesh; Kumar, N. Shiravan; Sarma, Ritumoni 1 2019 A note on \(K\)-functional, modulus of smoothness, Jackson theorem and Bernstein-Nikolskii-Stechkin inequality on Damek-Ricci spaces. Zbl 1464.41007 Kumar, Vishvesh; Ruzhansky, Michael 1 2021 Orlicz algebras on homogeneous spaces of compact groups and their abstract linear representations. Zbl 1397.43005 Kumar, Vishvesh; Sarma, R.; Kumar, N. Shravan 1 2018 \(L^2\)-\(L^p\) estimates and Hilbert-Schmidt pseudo differential operators on the Heisenberg motion group. Zbl 1523.35315 Kumar, Vishvesh; Mondal, Shyam Swarup 1 2023 \(L^p\)-\(L^q\) boundedness of \((k,a)\)-Fourier multipliers with applications to nonlinear equations. Zbl 1507.42012 Kumar, Vishvesh; Ruzhansky, Michael 7 2023 Global functional calculus, lower/upper bounds and evolution equations on manifolds with boundary. Zbl 07777061 Sánchez, Duván Cardona; Kumar, Vishvesh; Ruzhansky, Michael; Tokmagambetov, Niyaz 1 2023 \(L^2\)-\(L^p\) estimates and Hilbert-Schmidt pseudo differential operators on the Heisenberg motion group. Zbl 1523.35315 Kumar, Vishvesh; Mondal, Shyam Swarup 1 2023 \(L^p\)-\(L^q\) boundedness of spectral multipliers of the anharmonic oscillator. (\(L^p\)-\(L^q\) continuité des multiplicateurs spectraux de l’oscillateur anharmonique.) Zbl 1487.42023 Chatzakou, Marianna; Kumar, Vishvesh 4 2022 Ellipticity and Fredholmness of pseudo-differential operators on \(\ell^2(\mathbb{Z}^n)\). Zbl 1491.35472 Dasgupta, Aparajita; Kumar, Vishvesh 3 2022 Schatten class and nuclear pseudo-differential operators on homogeneous spaces of compact groups. Zbl 1481.35423 Kumar, Vishvesh; Mondal, Shyam Swarup 3 2022 Hardy-Littlewood inequality and \(L^p\)-\(L^q\) Fourier multipliers on compact hypergroups. Zbl 1497.43007 Kumar, Vishvesh; Ruzhansky, Michael 3 2022 Trace class and Hilbert-Schmidt pseudo differential operators on step two nilpotent Lie groups. Zbl 1471.35350 Kumar, Vishvesh; Mondal, Shyam Swarup 5 2021 The nuclear trace of periodic vector-valued pseudo-differential operators with applications to index theory. Zbl 1523.42014 Cardona, Duván; Kumar, Vishvesh 3 2021 Hypercyclic sequences of weighted translations on hypergroups. Zbl 07431142 Kumar, Vishvesh; Tabatabaie, Seyyed Mohammad 2 2021 Topologically transitive sequence of cosine operators on Orlicz spaces. Zbl 1507.47022 Akbarbaglu, Ibrahim; Azimi, Mohammad Reza; Kumar, Vishvesh 1 2021 A note on \(K\)-functional, modulus of smoothness, Jackson theorem and Bernstein-Nikolskii-Stechkin inequality on Damek-Ricci spaces. Zbl 1464.41007 Kumar, Vishvesh; Ruzhansky, Michael 1 2021 Hilbert-Schmidt and trace class pseudo-differential operators on the abstract Heisenberg group. Zbl 1445.47036 Dasgupta, Aparajita; Kumar, Vishvesh 9 2020 Dixmier traces for discrete pseudo-differential operators. Zbl 1503.47065 Cardona, Duván; del Corral, César; Kumar, Vishvesh 7 2020 Nuclearity of operators related to finite measure spaces. Zbl 1497.47065 Kumar, Vishvesh; Mondal, Shyam Swarup 5 2020 The Hausdorff-Young inequality for Orlicz spaces on compact hypergroups. Zbl 1439.43008 Kumar, Vishvesh; Sarma, Ritumoni 5 2020 Orlicz spaces and amenability of hypergroups. Zbl 1441.43014 Kumar, Vishvesh 4 2020 Ramsey theory for hypergroups. Zbl 1439.20074 Kumar, Vishvesh; Ross, Kenneth A.; Singh, Ajit Iqbal 4 2020 Correction to: “\(C^*\)-algebras, \(H^*\)-algebras and trace ideals of pseudo-differential operators on locally compact, Hausdorff and abelian groups”. Zbl 1497.47075 Kumar, Vishvesh; Wong, M. W. 2 2020 Characterization of multipliers on hypergroups. Zbl 1441.43008 Kumar, Vishvesh; Kumar, N. Shravan; Sarma, Ritumoni 2 2020 Hausdorff-Young inequality for Orlicz spaces on compact homogeneous manifolds. Zbl 1440.46024 Kumar, Vishvesh; Ruzhansky, Michael 2 2020 \(L^p\)-boundedness and \(L^p\)-nuclearity of multilinear pseudo-differential operators on \(\mathbb{Z}^n\) and the torus \(\mathbb{T}^n\). Zbl 1429.58036 Cardona, Duván; Kumar, Vishvesh 17 2019 Pseudo-differential operators on homogeneous spaces of compact and Hausdorff groups. Zbl 1419.35267 Kumar, Vishvesh 12 2019 Orlicz spaces on hypergroups. Zbl 1438.43002 Kumar, Vishvesh; Sarma, Ritumoni; Kumar, N. Shravan 7 2019 \(C^*\)-algebras, \(H^*\)-algebras and trace ideals of pseudo-differential operators on locally compact, Hausdorff and abelian groups. Zbl 1497.47074 Kumar, Vishvesh; Wong, M. W. 7 2019 Hypergroup deformations of semigroups. Zbl 1422.43003 Kumar, Vishvesh; Ross, Kenneth A.; Singh, Ajit Iqbal 5 2019 An addendum to “Hypergroup deformations of semigroups”. Zbl 1460.43002 Kumar, Vishvesh; Ross, Kenneth A.; Singh, Ajit Iqbal 5 2019 Unbounded translation invariant operators on commutative hypergroups. Zbl 1449.43006 Kumar, Vishvesh; Kumar, N. Shiravan; Sarma, Ritumoni 1 2019 Multilinear analysis for discrete and periodic pseudo-differential operators in \(L^p\)-spaces. Zbl 1426.58007 Cardona, Duván; Kumar, Vishvesh 14 2018 Multipliers on vector-valued \(L^1\)-spaces for hypergroups. Zbl 1392.43003 Sarma, R.; Kumar, N. Shravan; Kumar, Vishvesh 4 2018 Orlicz algebras on homogeneous spaces of compact groups and their abstract linear representations. Zbl 1397.43005 Kumar, Vishvesh; Sarma, R.; Kumar, N. Shravan 1 2018 all cited Publications top 5 cited Publications all top 5 Cited by 41 Authors 24 Kumar, Vishvesh 9 Mondal, Shyam Swarup 7 Cardona, Duván 6 Tabatabaie, Seyyed Mohammad 4 Mejjaoli, Hatem 4 Ruzhansky, Michael V. 3 Bagheri Salec, Alireza 3 Dasgupta, Aparajita 2 Del Corral, César 2 Kahler, Stefan 2 Kumar, Nageswaran Shravan 2 Messiouene, Rekia 2 Ross, Kenneth A. 2 Sarma, Ritumoni 2 Senoussaoui, Abderrahmane 2 Singh, Ajit Iqbal 1 Aliev, Rashid Avazaga 1 Azimi, Mohammad Reza 1 Bischoff, Marcel 1 Boggarapu, Pradeep 1 Couchet, Nathan 1 Del Vecchio, Simone 1 Delgado, Julio 1 Giorgetti, Luca 1 Halvdansson, Simon 1 Hendrickx, Arne 1 Ismayilov, Eldost 1 Issa, Abudulaï 1 Ivković, Stefan G. 1 Kisil, Vladimir V. 1 Mahmoud, Ramy Ramadan 1 Mensah, Yaogan 1 Nayak, Santosh Kumar 1 Negzaoui, Selma 1 Öztop, Serap 1 Posada, Liliana 1 Restrepo, Joel Esteban 1 Saker, Samir H. 1 Senapati, P. Jitendra Kumar 1 Wong, Man Wah 1 Yuncken, Robert all top 5 Cited in 37 Serials 5 Journal of Pseudo-Differential Operators and Applications 3 Semigroup Forum 3 Complex Analysis and Operator Theory 2 Journal of Approximation Theory 2 Journal of Functional Analysis 2 Proceedings of the American Mathematical Society 2 Bulletin of the Iranian Mathematical Society 2 Bulletin des Sciences Mathématiques 2 The Journal of Fourier Analysis and Applications 2 Complex Variables and Elliptic Equations 1 Applicable Analysis 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Acta Mathematica Vietnamica 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Results in Mathematics 1 Revista Colombiana de Matemáticas 1 Revista de la Unión Matemática Argentina 1 Aequationes Mathematicae 1 Indagationes Mathematicae. New Series 1 Turkish Journal of Mathematics 1 Filomat 1 Journal of Lie Theory 1 Positivity 1 Acta Mathematica Sinica. English Series 1 Lobachevskii Journal of Mathematics 1 Annales Henri Poincaré 1 Journal of the Australian Mathematical Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Analysis and Applications (Singapore) 1 Mediterranean Journal of Mathematics 1 Operators and Matrices 1 Revista Integración 1 Analysis and Mathematical Physics 1 Palestine Journal of Mathematics all top 5 Cited in 17 Fields 31 Abstract harmonic analysis (43-XX) 25 Operator theory (47-XX) 14 Partial differential equations (35-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 10 Functional analysis (46-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Topological groups, Lie groups (22-XX) 4 Real functions (26-XX) 4 Special functions (33-XX) 4 Integral transforms, operational calculus (44-XX) 3 Group theory and generalizations (20-XX) 2 Combinatorics (05-XX) 2 Approximations and expansions (41-XX) 1 Associative rings and algebras (16-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Quantum theory (81-XX) Citations by Year