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Thangavelu, Sundaram

Author ID: thangavelu.sundaram Recent zbMATH articles by "Thangavelu, Sundaram"
Published as: Thangavelu, S.; Thangavelu, Sundaram
all top 5

Serials

10 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
8 Journal of Functional Analysis
8 Revista Matemática Iberoamericana
6 Colloquium Mathematicum
5 Journal d’Analyse Mathématique
4 Studia Mathematica
4 Advances in Mathematics
4 Mathematische Zeitschrift
4 Proceedings of the American Mathematical Society
4 Tôhoku Mathematical Journal. Second Series
4 Advances in Pure and Applied Mathematics
3 Israel Journal of Mathematics
3 Monatshefte für Mathematik
3 Transactions of the American Mathematical Society
3 The Journal of Analysis
3 The Journal of Fourier Analysis and Applications
3 Journal of the Australian Mathematical Society
2 Journal of Mathematical Analysis and Applications
2 Arkiv för Matematik
2 Annales de l’Institut Fourier
2 Mathematische Annalen
2 Revista de la Unión Matemática Argentina
2 Publicacions Matemàtiques
2 IMRN. International Mathematics Research Notices
2 Progress in Mathematics
1 Analysis Mathematica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Duke Mathematical Journal
1 Hiroshima Mathematical Journal
1 Indiana University Mathematics Journal
1 Integral Equations and Operator Theory
1 Journal of Computational and Applied Mathematics
1 Journal of the Indian Institute of Science
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Nachrichten
1 The Mathematics Student
1 Nagoya Mathematical Journal
1 Pacific Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Communications in Partial Differential Equations
1 Potential Analysis
1 The New York Journal of Mathematics
1 Integral Transforms and Special Functions
1 Fractional Calculus & Applied Analysis
1 Communications on Pure and Applied Analysis
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Lectures on Mathematics and Physics. Mathematics. Tata Institute of Fundamental Research
1 Mathematical Notes (Princeton)
1 Analysis & PDE
1 Annals of Functional Analysis
1 Ramanujan Mathematical Society Collected Works Series

Publications by Year

Citations contained in zbMATH Open

109 Publications have been cited 1,638 times in 960 Documents Cited by Year
Lectures on Hermite and Laguerre expansions. Zbl 0791.41030
Thangavelu, Sundaram
332
1993
Harmonic analysis on the Heisenberg group. Zbl 0892.43001
Thangavelu, Sundaram
169
1998
Convolution operator and maximal function for the Dunkl transform. Zbl 1131.43006
Thangavelu, Sundaram; Xu, Yuan
145
2006
An introduction to the uncertainty principle. Hardy’s theorem on Lie groups. With a foreword by Gerald B. Folland. Zbl 1188.43010
Thangavelu, Sundaram
77
2004
Riesz transform and Riesz potentials for Dunkl transform. Zbl 1145.44001
Thangavelu, Sundaram; Xu, Yuan
67
2007
Uncertainty principles on certain Lie groups. Zbl 0857.43011
Sitaram, A.; Sundari, M.; Thangavelu, S.
56
1995
Hardy’s inequality for fractional powers of the sublaplacian on the Heisenberg group. Zbl 1348.43011
Roncal, Luz; Thangavelu, Sundaram
39
2016
On regularity of twisted spherical means and special Hermite expansions. Zbl 0821.43005
Thangavelu, S.
30
1993
Riesz transforms and the wave equation for the Hermite operator. Zbl 0709.35068
Thangavelu, S.
29
1990
Spherical means and CR functions on the Heisenberg group. Zbl 0822.43001
Thangavelu, S.
25
1994
The heat kernel transform for the Heisenberg group. Zbl 1075.22005
Krötz, Bernhard; Thangavelu, Sundaram; Xu, Yuan
23
2005
Hardy’s inequalities for Hermite and Laguerre expansions. Zbl 1062.42021
Radha, R.; Thangavelu, S.
22
2004
Multipliers for Hermite expansions. Zbl 0687.42015
Thangavelu, S.
20
1987
Hermite and special Hermite expansions revisited. Zbl 0945.42014
Thangavelu, S.
19
1998
Riesz transforms and multipliers for the Grushin operator. Zbl 1270.35013
Jotsaroop, K.; Sanjay, P. K.; Thangavelu, S.
19
2013
Summability of Hermite expansions. I. Zbl 0685.42015
Thangavelu, S.
18
1989
Hermite and Laguerre semigroups – some recent developments. Zbl 1295.22015
Thangavelu, Sundaram
18
2012
Pointwise ergodic theorems for radial averages on the Heisenberg group. Zbl 0888.22002
Nevo, Amos; Thangavelu, Sundaram
18
1997
On theorems of Beurling and Hardy for the Euclidean motion groups. Zbl 1085.22004
Sarkar, Rudra P.; Thangavelu, Sundaram
16
2005
An analogue of Hardy’s theorem for the Heisenberg group. Zbl 0965.43002
Thangavelu, S.
15
2001
Lectures on partial differential equations. Delivered at the Indian Institute of Science, Bangalore. Notes by K. T. Joseph and S. Thangavelu. Zbl 0529.35005
Folland, G. B.
15
1983
On Hermite pseudo-multipliers. Zbl 1319.43006
Bagchi, Sayan; Thangavelu, Sundaram
14
2015
Some uncertainty inequalities. Zbl 0731.42024
Thangavelu, S.
14
1990
An extension problem and trace Hardy inequality for the sub-Laplacian on \(H\)-type groups. Zbl 1484.35015
Roncal, Luz; Thangavelu, Sundaram
14
2020
Spherical means on the Heisenberg group and a restriction theorem for the symplectic Fourier transform. Zbl 0785.43003
Thangavelu, S.
13
1991
Mixed norm estimates for the Cesàro means associated with Dunkl-Hermite expansions. Zbl 1405.42049
Boggarapu, Pradeep; Roncal, Luz; Thangavelu, Sundaram
13
2017
An optimal theorem for the spherical maximal operator on the Heisenberg group. Zbl 1062.43016
Narayanan, E. K.; Thangavelu, S.
12
2004
On conjugate Poisson integrals and Riesz transforms for the Hermite expansions. Zbl 0821.42016
Thangavelu, S.
12
1993
Holomorphic Sobolev spaces, Hermite and special Hermite semigroups and a Paley-Wiener theorem for the windowed Fourier transform. Zbl 1168.43005
Radha, R.; Thangavelu, S.
11
2009
A restriction theorem for the Heisenberg motion group. Zbl 0978.42016
Ratnakumar, P. K.; Rawat, Rama; Thangavelu, S.
11
1997
On Paley-Wiener theorems for the Heisenberg group. Zbl 0793.43006
Thangavelu, S.
11
1993
Holomorphic Sobolev spaces associated to compact symmetric spaces. Zbl 1130.22004
Thangavelu, S.
11
2007
Hardy-type inequalities for fractional Powers of the Dunkl-Hermite operator. Zbl 1435.26013
Ciaurri, Óscar; Roncal, Luz; Thangavelu, Sundaram
11
2018
Littlewood-Paley-Stein theory on \({\mathbb{C}}^ n\) and Weyl multipliers. Zbl 0734.42010
Thangavelu, S.
11
1990
Hardy’s theorem for the Helgason Fourier transform on noncompact rank one symmetric spaces. Zbl 1025.22007
Thangavelu, S.
10
2002
Probability representations of solutions to the heat equation. Zbl 1052.35065
Rajeev, B.; Thangavelu, S.
10
2003
Injectivity sets for spherical means on the Heisenberg group. Zbl 0995.43003
Narayanan, E. K.; Thangavelu, S.
10
2001
Summability of Hermite expansions. II. Zbl 0685.42016
Thangavelu, S.
10
1989
Harmonic analysis on Heisenberg nilmanifolds. Zbl 1286.43011
Thangavelu, Sundaram
9
2009
Probabilistic representations of solutions of the forward equations. Zbl 1134.60042
Rajeev, B.; Thangavelu, S.
9
2008
Revisiting Hardy’s theorem for the Heisenberg group. Zbl 1045.22010
Thangavelu, S.
8
2002
A spectral Paley-Wiener theorem for the Heisenberg group and a support theorem for the twisted spherical means on \(\mathbb C^n\). Zbl 1089.43006
Narayanan, E. K.; Thangavelu, S.
8
2006
On theorems of Beurling and Hardy for certain step two nilpotent groups. Zbl 1162.43003
Parui, Sanjay; Thangavelu, Sundaram
8
2009
An analogue of Gutzmer’s formula for Hermite expansions. Zbl 1283.42013
Thangavelu, S.
8
2008
On the maximal function associated to the spherical means on the Heisenberg group. Zbl 1486.43007
Bagchi, Sayan; Hait, Sourav; Roncal, Luz; Thangavelu, Sundaram
8
2021
On almost everywhere and mean convergence of Hermite and Laguerre expansions. Zbl 0747.42014
Thangavelu, S.
7
1990
Summability of Laguerre expansions. Zbl 0737.41033
Thangavelu, S.
7
1990
On Paley-Wiener and Hardy theorems for \(NA\) groups. Zbl 1045.22008
Thangavelu, S.
7
2003
Uniqueness of solutions to Schrödinger equations on \(H\)-type groups. Zbl 1286.22009
Ben Saïd, Salem; Thangavelu, Sundaram; Dogga, Venku Naidu
7
2013
Revisiting the Fourier transform on the Heisenberg group. Zbl 1285.43003
Lavanya, R. Lakshmi; Thangavelu, S.
7
2014
Gutzmer’s formula and Poisson integrals on the Heisenberg group. Zbl 1149.43008
Thangavelu, Sundaram
7
2007
Poisson transform for the Heisenberg group and eigenfunctions of the sublaplacian. Zbl 1100.22008
Thangavelu, S.
7
2006
Mean periodic functions on phase space and the Pompeiu problem with a twist. Zbl 0831.43003
Thangavelu, Sundaram
7
1995
Phase space analysis of the Hermite semigroup and applications to nonlinear global well-posedness. Zbl 1476.35297
Bhimani, Divyang G.; Manna, Ramesh; Nicola, Fabio; Thangavelu, Sundaram; Trapasso, S. Ivan
7
2021
Multipliers for Hermite and Laguerre Sobolev spaces. Zbl 1094.42008
Radha, R.; Thangavelu, S.
6
2004
Transplantation, summability and multipliers for multiple Laguerre expansions. Zbl 0788.42008
Thangavelu, Sundaram
6
1992
Variants of Miyachi’s theorem for nilpotent Lie groups. Zbl 1193.22009
Baklouti, Ali; Thangavelu, Sundaram
6
2010
Revisiting Riesz transforms on Heisenberg groups. Zbl 1258.22004
Sanjay, P. K.; Thangavelu, Sundaram
6
2012
Theorems of Chernoff and Ingham for certain eigenfunction expansions. Zbl 1477.43009
Ganguly, Pritam; Thangavelu, Sundaram
6
2021
On the injectivity of twisted spherical means of \(\mathbb{C}^n\). Zbl 0986.43001
Sajith, G.; Thangavelu, S.
5
2001
On the unreasonable effectiveness of Gutzmer’s formula. Zbl 1194.43007
Thangavelu, Sundaram
5
2010
A Paley-Wiener theorem for step two nilpotent Lie groups. Zbl 0820.43004
Thangavelu, Sundaram
5
1994
Some restriction theorems for the Heisenberg group. Zbl 0747.43003
Thangavelu, S.
5
1991
On theorems of Hardy, Gelfand-Shilov and Beurling for semisimple groups. Zbl 1050.22014
Thangavelu, Sundaram
5
2004
Variations on a theorem of Cowling and Price with applications to nilpotent Lie groups. Zbl 1120.43002
Parui, S.; Thangavelu, S.
5
2007
Hermite multipliers on modulation spaces. Zbl 1414.35183
Bhimani, Divyang G.; Balhara, Rakesh; Thangavelu, Sundaram
5
2019
On the lacunary spherical maximal function on the Heisenberg group. Zbl 1470.43011
Ganguly, Pritam; Thangavelu, Sundaram
5
2021
An uncertainty principle for eigenfunction expansions. Zbl 1056.42511
Pati, V.; Sitaram, A.; Sundari, M.; Thangavelu, S.
4
1996
A characterisation of the Fourier transform on the Heisenberg group. Zbl 1260.43010
Lavanya, R. Lakshmi; Thangavelu, S.
4
2012
Weyl multipliers, Bochner-Riesz means and special Hermite expansions. Zbl 0765.42009
Thangavelu, S.
4
1991
Hardy and Miyachi theorems for Heisenberg motion groups. Zbl 1409.43003
Baklouti, Ali; Thangavelu, Sundaram
4
2018
Spherical means, wave equations, and Hermite-Laguerre expansions. Zbl 0910.42008
Ratnakumar, P. K.; Thangavelu, S.
3
1998
Restriction theorems for the Heisenberg group. Zbl 0708.43003
Thangavelu, S.
3
1991
A note on a transplantation theorem of Kanjin and multiple Laguerre expansions. Zbl 0823.42017
Thangavelu, S.
3
1993
On Strichartz’s uncertainty inequality for the Heisenberg group. Zbl 1047.42010
Smitha, Chettutty; Thangavelu, Sundaram
3
2003
A Paley-Wiener theorem for the inverse Fourier transform on some homogeneous spaces. Zbl 1143.22008
Thangavelu, S.
3
2007
Dimension free boundedness of Riesz transforms for the Grushin operator. Zbl 1305.43008
Sanjay, P. K.; Thangavelu, S.
3
2014
On the Hermite expansions of functions from the Hardy class. Zbl 1198.42029
Garg, Rahul; Thangavelu, Sundaram
3
2010
Heat kernel transform for nilmanifolds associated to the Heisenberg group. Zbl 1153.22009
Krötz, Bernhard; Thangavelu, Sundaram; Xu, Yuan
3
2008
\(L^p\) estimates for the wave equation associated to the Grushin operator. Zbl 1318.42035
Jotsaroop, Kaur; Thangavelu, Sundaram
3
2014
An uncertainty principle for spectral projections on rank one symmetric spaces of noncompact type. Zbl 1496.43005
Ganguly, Pritam; Thangavelu, Sundaram
3
2022
On extension problem, trace Hardy and Hardy’s inequalities for some fractional Laplacians. Zbl 1481.35017
Boggarapu, Pradeep; Roncal, Luz; Thangavelu, Sundaram
3
2019
Analyticity of the Schrödinger propagator on the Heisenberg group. Zbl 1256.22004
Parui, S.; Ratnakumar, P. K.; Thangavelu, S.
3
2012
Weyl multipliers for invariant Sobolev spaces. Zbl 0934.46039
Radha, Ramakrishnan; Thangavelu, Sundaram
2
1998
Some remarks on Bochner-Riesz means. Zbl 0968.42011
Thangavelu, S.
2
2000
Local ergodic theorems for \(K\)-spherical averages on the Heisenberg group. Zbl 0957.22005
Thangavelu, S.
2
2000
An analogue of Ingham’s theorem on the Heisenberg group. Zbl 07735171
Bagchi, Sayan; Ganguly, Pritam; Sarkar, Jayanta; Thangavelu, Sundaram
2
2023
On the images of Sobolev spaces under the heat kernel transform on the Heisenberg group. Zbl 1277.42027
Radha, R.; Thangavelu, S.; Naidu, D. Venku
2
2013
Gutzmer’s formula and the Segal-Bargmann transform. Zbl 1187.22007
Thangavelu, S.
2
2009
A multiplier theorem for the sublaplacian on the Heisenberg group. Zbl 0754.43005
Thangavelu, S.
2
1991
Analogues of theorems of Chernoff and Ingham on the Heisenberg group. Zbl 1526.43006
Ganguly, Pritam; Thangavelu, Sundaram
2
2023
An analogue of the Wiener Tauberian theorem for the Heisenberg motion group. Zbl 1226.43004
Sarkar, Rudra P.; Thangavelu, Sundaram
2
2007
Hermite expansions on \({\mathbb{R}}^{2n}\) for radial functions. Zbl 0732.42019
Thangavelu, S.
2
1990
A survey of Hardy type theorems. Zbl 1092.43006
Thangavelu, S.
2
2005
Hermite expansions on \({\mathbb{R}}^ n\) for radial functions. Zbl 0781.42030
Thangavelu, S.
2
1993
Weighted norm inequalities for Weyl multipliers and Fourier multipliers on the Heisenberg group. Zbl 1440.42039
Bagchi, Sayan; Thangavelu, Sundaram
2
2018
On a theorem of Chernoff on rank one Riemannian symmetric spaces. Zbl 1491.43008
Ganguly, Pritam; Manna, Ramesh; Thangavelu, Sundaram
2
2022
A characterisation of the Weyl transform. Zbl 1246.42008
Lakshmi Lavanya, R.; Thangavelu, S.
1
2012
On the structure of analytic vectors for the Schrödinger representation. Zbl 1267.42035
Garg, Rahul; Thangavelu, Sundaram
1
2012
\(L^{p}-L^{2}\) estimates for solutions of the wave equation associated to the Grushin operator. Zbl 1391.35089
Thangavelu, Sundaram; Dogga, Venku Naidu
1
2018
An analogue of Ingham’s theorem on the Heisenberg group. Zbl 07735171
Bagchi, Sayan; Ganguly, Pritam; Sarkar, Jayanta; Thangavelu, Sundaram
2
2023
Analogues of theorems of Chernoff and Ingham on the Heisenberg group. Zbl 1526.43006
Ganguly, Pritam; Thangavelu, Sundaram
2
2023
An uncertainty principle for spectral projections on rank one symmetric spaces of noncompact type. Zbl 1496.43005
Ganguly, Pritam; Thangavelu, Sundaram
3
2022
On a theorem of Chernoff on rank one Riemannian symmetric spaces. Zbl 1491.43008
Ganguly, Pritam; Manna, Ramesh; Thangavelu, Sundaram
2
2022
Beurling’s theorem on the Heisenberg group. Zbl 1516.43004
Thangavelu, Sundaram
1
2022
On the maximal function associated to the spherical means on the Heisenberg group. Zbl 1486.43007
Bagchi, Sayan; Hait, Sourav; Roncal, Luz; Thangavelu, Sundaram
8
2021
Phase space analysis of the Hermite semigroup and applications to nonlinear global well-posedness. Zbl 1476.35297
Bhimani, Divyang G.; Manna, Ramesh; Nicola, Fabio; Thangavelu, Sundaram; Trapasso, S. Ivan
7
2021
Theorems of Chernoff and Ingham for certain eigenfunction expansions. Zbl 1477.43009
Ganguly, Pritam; Thangavelu, Sundaram
6
2021
On the lacunary spherical maximal function on the Heisenberg group. Zbl 1470.43011
Ganguly, Pritam; Thangavelu, Sundaram
5
2021
An extension problem and Hardy type inequalities for the Grushin operator. Zbl 07444048
Balhara, Rakesh; Boggarapu, Pradeep; Thangavelu, Sundaram
1
2021
Homogeneous Fourier and Weyl multipliers on Sobolev spaces related to the Heisenberg group. Zbl 1484.43002
Basak, Riju; Garg, Rahul; Thangavelu, Sundaram
1
2021
An extension problem and trace Hardy inequality for the sub-Laplacian on \(H\)-type groups. Zbl 1484.35015
Roncal, Luz; Thangavelu, Sundaram
14
2020
Hermite multipliers on modulation spaces. Zbl 1414.35183
Bhimani, Divyang G.; Balhara, Rakesh; Thangavelu, Sundaram
5
2019
On extension problem, trace Hardy and Hardy’s inequalities for some fractional Laplacians. Zbl 1481.35017
Boggarapu, Pradeep; Roncal, Luz; Thangavelu, Sundaram
3
2019
Hardy-type inequalities for fractional Powers of the Dunkl-Hermite operator. Zbl 1435.26013
Ciaurri, Óscar; Roncal, Luz; Thangavelu, Sundaram
11
2018
Hardy and Miyachi theorems for Heisenberg motion groups. Zbl 1409.43003
Baklouti, Ali; Thangavelu, Sundaram
4
2018
Weighted norm inequalities for Weyl multipliers and Fourier multipliers on the Heisenberg group. Zbl 1440.42039
Bagchi, Sayan; Thangavelu, Sundaram
2
2018
\(L^{p}-L^{2}\) estimates for solutions of the wave equation associated to the Grushin operator. Zbl 1391.35089
Thangavelu, Sundaram; Dogga, Venku Naidu
1
2018
An analogue of Pfannschmidt’s theorem for the Heisenberg group. Zbl 1403.43003
Thangavelu, Sundaram
1
2018
Mixed norm estimates for the Cesàro means associated with Dunkl-Hermite expansions. Zbl 1405.42049
Boggarapu, Pradeep; Roncal, Luz; Thangavelu, Sundaram
13
2017
On the chaotic behavior of the Dunkl heat semigroup on weighted \(L^{p}\) spaces. Zbl 06709000
Boggarapu, Pradeep; Thangavelu, S.
1
2017
Hardy’s inequality for fractional powers of the sublaplacian on the Heisenberg group. Zbl 1348.43011
Roncal, Luz; Thangavelu, Sundaram
39
2016
Mixed norm estimates for the Riesz transforms on \(\mathrm{SU}(2)\). Zbl 1344.42025
Boggarapu, Pradeep; Thangavelu, S.
1
2016
On Hermite pseudo-multipliers. Zbl 1319.43006
Bagchi, Sayan; Thangavelu, Sundaram
14
2015
Revisiting the Fourier transform on the Heisenberg group. Zbl 1285.43003
Lavanya, R. Lakshmi; Thangavelu, S.
7
2014
Dimension free boundedness of Riesz transforms for the Grushin operator. Zbl 1305.43008
Sanjay, P. K.; Thangavelu, S.
3
2014
\(L^p\) estimates for the wave equation associated to the Grushin operator. Zbl 1318.42035
Jotsaroop, Kaur; Thangavelu, Sundaram
3
2014
Riesz transforms and multipliers for the Grushin operator. Zbl 1270.35013
Jotsaroop, K.; Sanjay, P. K.; Thangavelu, S.
19
2013
Uniqueness of solutions to Schrödinger equations on \(H\)-type groups. Zbl 1286.22009
Ben Saïd, Salem; Thangavelu, Sundaram; Dogga, Venku Naidu
7
2013
On the images of Sobolev spaces under the heat kernel transform on the Heisenberg group. Zbl 1277.42027
Radha, R.; Thangavelu, S.; Naidu, D. Venku
2
2013
Hermite and Laguerre semigroups – some recent developments. Zbl 1295.22015
Thangavelu, Sundaram
18
2012
Revisiting Riesz transforms on Heisenberg groups. Zbl 1258.22004
Sanjay, P. K.; Thangavelu, Sundaram
6
2012
A characterisation of the Fourier transform on the Heisenberg group. Zbl 1260.43010
Lavanya, R. Lakshmi; Thangavelu, S.
4
2012
Analyticity of the Schrödinger propagator on the Heisenberg group. Zbl 1256.22004
Parui, S.; Ratnakumar, P. K.; Thangavelu, S.
3
2012
A characterisation of the Weyl transform. Zbl 1246.42008
Lakshmi Lavanya, R.; Thangavelu, S.
1
2012
On the structure of analytic vectors for the Schrödinger representation. Zbl 1267.42035
Garg, Rahul; Thangavelu, Sundaram
1
2012
Toeplitz operators with special symbols on Segal-Bargmann spaces. Zbl 1233.47023
Jotsaroop, K.; Thangavelu, S.
1
2011
Variants of Miyachi’s theorem for nilpotent Lie groups. Zbl 1193.22009
Baklouti, Ali; Thangavelu, Sundaram
6
2010
On the unreasonable effectiveness of Gutzmer’s formula. Zbl 1194.43007
Thangavelu, Sundaram
5
2010
On the Hermite expansions of functions from the Hardy class. Zbl 1198.42029
Garg, Rahul; Thangavelu, Sundaram
3
2010
Holomorphic Sobolev spaces, Hermite and special Hermite semigroups and a Paley-Wiener theorem for the windowed Fourier transform. Zbl 1168.43005
Radha, R.; Thangavelu, S.
11
2009
Harmonic analysis on Heisenberg nilmanifolds. Zbl 1286.43011
Thangavelu, Sundaram
9
2009
On theorems of Beurling and Hardy for certain step two nilpotent groups. Zbl 1162.43003
Parui, Sanjay; Thangavelu, Sundaram
8
2009
Gutzmer’s formula and the Segal-Bargmann transform. Zbl 1187.22007
Thangavelu, S.
2
2009
Probabilistic representations of solutions of the forward equations. Zbl 1134.60042
Rajeev, B.; Thangavelu, S.
9
2008
An analogue of Gutzmer’s formula for Hermite expansions. Zbl 1283.42013
Thangavelu, S.
8
2008
Heat kernel transform for nilmanifolds associated to the Heisenberg group. Zbl 1153.22009
Krötz, Bernhard; Thangavelu, Sundaram; Xu, Yuan
3
2008
Riesz transform and Riesz potentials for Dunkl transform. Zbl 1145.44001
Thangavelu, Sundaram; Xu, Yuan
67
2007
Holomorphic Sobolev spaces associated to compact symmetric spaces. Zbl 1130.22004
Thangavelu, S.
11
2007
Gutzmer’s formula and Poisson integrals on the Heisenberg group. Zbl 1149.43008
Thangavelu, Sundaram
7
2007
Variations on a theorem of Cowling and Price with applications to nilpotent Lie groups. Zbl 1120.43002
Parui, S.; Thangavelu, S.
5
2007
A Paley-Wiener theorem for the inverse Fourier transform on some homogeneous spaces. Zbl 1143.22008
Thangavelu, S.
3
2007
An analogue of the Wiener Tauberian theorem for the Heisenberg motion group. Zbl 1226.43004
Sarkar, Rudra P.; Thangavelu, Sundaram
2
2007
Convolution operator and maximal function for the Dunkl transform. Zbl 1131.43006
Thangavelu, Sundaram; Xu, Yuan
145
2006
A spectral Paley-Wiener theorem for the Heisenberg group and a support theorem for the twisted spherical means on \(\mathbb C^n\). Zbl 1089.43006
Narayanan, E. K.; Thangavelu, S.
8
2006
Poisson transform for the Heisenberg group and eigenfunctions of the sublaplacian. Zbl 1100.22008
Thangavelu, S.
7
2006
The heat kernel transform for the Heisenberg group. Zbl 1075.22005
Krötz, Bernhard; Thangavelu, Sundaram; Xu, Yuan
23
2005
On theorems of Beurling and Hardy for the Euclidean motion groups. Zbl 1085.22004
Sarkar, Rudra P.; Thangavelu, Sundaram
16
2005
A survey of Hardy type theorems. Zbl 1092.43006
Thangavelu, S.
2
2005
An introduction to the uncertainty principle. Hardy’s theorem on Lie groups. With a foreword by Gerald B. Folland. Zbl 1188.43010
Thangavelu, Sundaram
77
2004
Hardy’s inequalities for Hermite and Laguerre expansions. Zbl 1062.42021
Radha, R.; Thangavelu, S.
22
2004
An optimal theorem for the spherical maximal operator on the Heisenberg group. Zbl 1062.43016
Narayanan, E. K.; Thangavelu, S.
12
2004
Multipliers for Hermite and Laguerre Sobolev spaces. Zbl 1094.42008
Radha, R.; Thangavelu, S.
6
2004
On theorems of Hardy, Gelfand-Shilov and Beurling for semisimple groups. Zbl 1050.22014
Thangavelu, Sundaram
5
2004
Probability representations of solutions to the heat equation. Zbl 1052.35065
Rajeev, B.; Thangavelu, S.
10
2003
On Paley-Wiener and Hardy theorems for \(NA\) groups. Zbl 1045.22008
Thangavelu, S.
7
2003
On Strichartz’s uncertainty inequality for the Heisenberg group. Zbl 1047.42010
Smitha, Chettutty; Thangavelu, Sundaram
3
2003
Hardy’s theorem for the Helgason Fourier transform on noncompact rank one symmetric spaces. Zbl 1025.22007
Thangavelu, S.
10
2002
Revisiting Hardy’s theorem for the Heisenberg group. Zbl 1045.22010
Thangavelu, S.
8
2002
An analogue of Hardy’s theorem for the Heisenberg group. Zbl 0965.43002
Thangavelu, S.
15
2001
Injectivity sets for spherical means on the Heisenberg group. Zbl 0995.43003
Narayanan, E. K.; Thangavelu, S.
10
2001
On the injectivity of twisted spherical means of \(\mathbb{C}^n\). Zbl 0986.43001
Sajith, G.; Thangavelu, S.
5
2001
Some remarks on Bochner-Riesz means. Zbl 0968.42011
Thangavelu, S.
2
2000
Local ergodic theorems for \(K\)-spherical averages on the Heisenberg group. Zbl 0957.22005
Thangavelu, S.
2
2000
Harmonic analysis on the Heisenberg group. Zbl 0892.43001
Thangavelu, Sundaram
169
1998
Hermite and special Hermite expansions revisited. Zbl 0945.42014
Thangavelu, S.
19
1998
Spherical means, wave equations, and Hermite-Laguerre expansions. Zbl 0910.42008
Ratnakumar, P. K.; Thangavelu, S.
3
1998
Weyl multipliers for invariant Sobolev spaces. Zbl 0934.46039
Radha, Ramakrishnan; Thangavelu, Sundaram
2
1998
Pointwise ergodic theorems for radial averages on the Heisenberg group. Zbl 0888.22002
Nevo, Amos; Thangavelu, Sundaram
18
1997
A restriction theorem for the Heisenberg motion group. Zbl 0978.42016
Ratnakumar, P. K.; Rawat, Rama; Thangavelu, S.
11
1997
An uncertainty principle for eigenfunction expansions. Zbl 1056.42511
Pati, V.; Sitaram, A.; Sundari, M.; Thangavelu, S.
4
1996
Uncertainty principles on certain Lie groups. Zbl 0857.43011
Sitaram, A.; Sundari, M.; Thangavelu, S.
56
1995
Mean periodic functions on phase space and the Pompeiu problem with a twist. Zbl 0831.43003
Thangavelu, Sundaram
7
1995
Spherical means and CR functions on the Heisenberg group. Zbl 0822.43001
Thangavelu, S.
25
1994
A Paley-Wiener theorem for step two nilpotent Lie groups. Zbl 0820.43004
Thangavelu, Sundaram
5
1994
Lectures on Hermite and Laguerre expansions. Zbl 0791.41030
Thangavelu, Sundaram
332
1993
On regularity of twisted spherical means and special Hermite expansions. Zbl 0821.43005
Thangavelu, S.
30
1993
On conjugate Poisson integrals and Riesz transforms for the Hermite expansions. Zbl 0821.42016
Thangavelu, S.
12
1993
On Paley-Wiener theorems for the Heisenberg group. Zbl 0793.43006
Thangavelu, S.
11
1993
A note on a transplantation theorem of Kanjin and multiple Laguerre expansions. Zbl 0823.42017
Thangavelu, S.
3
1993
Hermite expansions on \({\mathbb{R}}^ n\) for radial functions. Zbl 0781.42030
Thangavelu, S.
2
1993
Transplantation, summability and multipliers for multiple Laguerre expansions. Zbl 0788.42008
Thangavelu, Sundaram
6
1992
Spherical means on the Heisenberg group and a restriction theorem for the symplectic Fourier transform. Zbl 0785.43003
Thangavelu, S.
13
1991
Some restriction theorems for the Heisenberg group. Zbl 0747.43003
Thangavelu, S.
5
1991
Weyl multipliers, Bochner-Riesz means and special Hermite expansions. Zbl 0765.42009
Thangavelu, S.
4
1991
Restriction theorems for the Heisenberg group. Zbl 0708.43003
Thangavelu, S.
3
1991
A multiplier theorem for the sublaplacian on the Heisenberg group. Zbl 0754.43005
Thangavelu, S.
2
1991
Riesz transforms and the wave equation for the Hermite operator. Zbl 0709.35068
Thangavelu, S.
29
1990
Some uncertainty inequalities. Zbl 0731.42024
Thangavelu, S.
14
1990
Littlewood-Paley-Stein theory on \({\mathbb{C}}^ n\) and Weyl multipliers. Zbl 0734.42010
Thangavelu, S.
11
1990
...and 9 more Documents
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Cited by 863 Authors

70 Thangavelu, Sundaram
21 Mejjaoli, Hatem
20 Torrea, José Luis
18 Huang, Jizheng
16 Xu, Yuan
14 Baklouti, Ali
14 Betancor Perez, Jorge Juan
14 Roncal, Luz
13 Ratnakumar, P. K.
12 Ciaurri, Óscar
12 Dziubański, Jacek
12 Liu, Heping
12 Volchkov, Vitaliĭ Vladimirovich
12 Wong, Man Wah
11 Daher, Radouan
11 Ghanmi, Allal
11 Naidu, D. Venku
11 Parui, Sanjay
11 Radha, Ramakrishnan
11 Stempak, Krzysztof
10 Amri, Bechir
10 Hejna, Agnieszka
10 Rodríguez-Mesa, Lourdes
10 Volchkov, Valeriĭ Vladimirovich
10 Zhao, Jiman
9 Bagchi, Sayan
9 Boggarapu, Pradeep
9 Chen, Peng
9 Fariña, Juan Carlos
9 Li, Zhongkai
9 Narayanan, E. K.
9 Smaoui, Kais
9 The Anh Bui
9 Trimèche, Khalifa
9 Varona Malumbres, Juan Luis
8 Castro, Alejandro J.
8 Dai, Feng
8 Duong, Xuan Thinh
8 Ganguly, Pritam
8 Ivanov, Valerĭ Ivanovich
8 Manna, Ramesh
8 Mondal, Shyam Swarup
8 Rajeev, Bhaskaran
8 Soltani, Fethi
8 Viviani, Beatriz E.
7 Deleaval, Luc
7 He, Jianxun
7 Kagawa, Toshinao
7 Martini, Alessio
7 Molahajloo, Shahla
7 Sen, Suparna
7 Sikora, Adam
7 Yan, Lixin
6 Abdelkefi, Chokri
6 Ben Saïd, Salem
6 Bhar, Suprio
6 Dasgupta, Aparajita
6 Garg, Rahul
6 Lee, Sanghyuk
6 Li, Ji
6 Liu, Yu
6 Ly, Fu Ken
6 Ochakovskaya, Oksana Aleksandrovna
6 Rawat, Rama
6 Ray, Swagato K.
6 Sarkar, Rudra P.
6 Sifi, Mohamed
6 Xiao, Jinsen
5 Anoop, V. P.
5 Bhimani, Divyang G.
5 Bhowmik, Mithun
5 Cho, Hong Rae
5 Escauriaza Zubiria, Luis
5 Fanelli, Luca
5 Gorbachëv, Dmitriĭ Viktorovich
5 Kallel, Samir
5 Kumar, Ajay
5 Kumar, Vishvesh
5 Labarga Varona, Edgar
5 Müller, Detlef
5 Nowak, Adam
5 Øksendal, Bernt Karsten
5 Plewa, Paweł
5 Ricci, Fulvio
5 Schröder, Michael
5 Sun, Wenchang
5 Sundari, Maddala
5 Wróbel, Błażej Jan
4 Azaouzi, Salma
4 Bahouri, Hajer
4 Bansal, Ashish
4 Chang, Der-Chen E.
4 Ciatti, Paolo
4 Ditzian, Zeev
4 Duong, Dao Van
4 Fernández-Bertolin, Aingeru
4 Garrigós, Gustavo
4 Harboure, Eleonor
4 Jotsaroop, Kaur
4 Kenig, Carlos Eduardo
...and 763 more Authors
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Cited in 225 Serials

50 Journal of Functional Analysis
38 The Journal of Fourier Analysis and Applications
35 Journal of Pseudo-Differential Operators and Applications
33 Integral Transforms and Special Functions
32 Journal of Mathematical Analysis and Applications
23 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
22 Proceedings of the American Mathematical Society
21 Journal d’Analyse Mathématique
19 Advances in Mathematics
17 Transactions of the American Mathematical Society
15 Potential Analysis
14 Journal of Approximation Theory
14 The Journal of Geometric Analysis
14 Complex Analysis and Operator Theory
13 Mathematical Notes
12 Mathematische Nachrichten
12 Monatshefte für Mathematik
12 Journal of Inequalities and Applications
12 Advances in Pure and Applied Mathematics
11 Indian Journal of Pure & Applied Mathematics
11 Israel Journal of Mathematics
11 Mathematische Annalen
10 Mathematische Zeitschrift
10 Bulletin des Sciences Mathématiques
10 Acta Mathematica Sinica. English Series
10 Mediterranean Journal of Mathematics
9 Annali di Matematica Pura ed Applicata. Serie Quarta
9 Tôhoku Mathematical Journal. Second Series
9 Communications in Partial Differential Equations
8 Infinite Dimensional Analysis, Quantum Probability and Related Topics
8 Journal of the Australian Mathematical Society
7 Journal of Mathematical Physics
7 Annales de l’Institut Fourier
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Results in Mathematics
7 Constructive Approximation
7 Journal of Mathematical Sciences (New York)
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Revista Matemática Iberoamericana
6 The Journal of Analysis
6 Advances in Operator Theory
5 Analysis Mathematica
5 Applicable Analysis
5 Mathematical Methods in the Applied Sciences
5 Journal of Geometry and Physics
5 Duke Mathematical Journal
5 Integral Equations and Operator Theory
5 Revista de la Unión Matemática Argentina
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Applied and Computational Harmonic Analysis
5 Doklady Mathematics
5 Communications on Pure and Applied Analysis
5 Journal of Function Spaces
4 Communications in Mathematical Physics
4 Studia Mathematica
4 Archiv der Mathematik
4 Journal of the Mathematical Society of Japan
4 Manuscripta Mathematica
4 Acta Mathematica Hungarica
4 Forum Mathematicum
4 Annales Mathématiques Blaise Pascal
4 Mathematical Inequalities & Applications
4 Complex Variables and Elliptic Equations
4 Banach Journal of Mathematical Analysis
4 Science China. Mathematics
4 Annals of Functional Analysis
4 Analysis and Mathematical Physics
3 Advances in Applied Probability
3 Bulletin of the Australian Mathematical Society
3 Arkiv för Matematik
3 Colloquium Mathematicum
3 International Journal of Mathematics and Mathematical Sciences
3 Journal of Computational and Applied Mathematics
3 Journal of Differential Equations
3 Nagoya Mathematical Journal
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Semigroup Forum
3 Tokyo Journal of Mathematics
3 Bulletin of the American Mathematical Society. New Series
3 Russian Mathematics
3 Calculus of Variations and Partial Differential Equations
3 Journal of Lie Theory
3 Abstract and Applied Analysis
3 Positivity
3 Taiwanese Journal of Mathematics
3 Journal of High Energy Physics
3 Journal of Evolution Equations
3 Analysis & PDE
2 Letters in Mathematical Physics
2 Rocky Mountain Journal of Mathematics
2 Ukrainian Mathematical Journal
2 American Journal of Mathematics
2 Bulletin of the London Mathematical Society
2 Canadian Journal of Mathematics
2 Collectanea Mathematica
2 Journal of the London Mathematical Society. Second Series
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Stochastic Analysis and Applications
2 Applied Numerical Mathematics
2 Publicacions Matemàtiques
...and 125 more Serials
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Cited in 45 Fields

462 Harmonic analysis on Euclidean spaces (42-XX)
279 Abstract harmonic analysis (43-XX)
246 Partial differential equations (35-XX)
170 Operator theory (47-XX)
152 Topological groups, Lie groups (22-XX)
145 Special functions (33-XX)
137 Functional analysis (46-XX)
108 Integral transforms, operational calculus (44-XX)
64 Real functions (26-XX)
52 Probability theory and stochastic processes (60-XX)
45 Quantum theory (81-XX)
33 Global analysis, analysis on manifolds (58-XX)
31 Functions of a complex variable (30-XX)
28 Several complex variables and analytic spaces (32-XX)
27 Differential geometry (53-XX)
26 Approximations and expansions (41-XX)
18 Ordinary differential equations (34-XX)
15 Numerical analysis (65-XX)
14 Potential theory (31-XX)
12 Number theory (11-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10 Dynamical systems and ergodic theory (37-XX)
10 Integral equations (45-XX)
9 Difference and functional equations (39-XX)
8 Statistics (62-XX)
8 Information and communication theory, circuits (94-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Geometry (51-XX)
5 Combinatorics (05-XX)
5 Group theory and generalizations (20-XX)
5 Sequences, series, summability (40-XX)
3 Nonassociative rings and algebras (17-XX)
3 Measure and integration (28-XX)
3 Convex and discrete geometry (52-XX)
2 General and overarching topics; collections (00-XX)
2 Algebraic geometry (14-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Mechanics of particles and systems (70-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Relativity and gravitational theory (83-XX)
2 Systems theory; control (93-XX)
1 General topology (54-XX)
1 Computer science (68-XX)
1 Fluid mechanics (76-XX)
1 Operations research, mathematical programming (90-XX)

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