## Thangavelu, Sundaram

Compute Distance To:
 Author ID: thangavelu.sundaram Published as: Thangavelu, S.; Thangavelu, Sundaram
 Documents Indexed: 119 Publications since 1985, including 3 Books 1 Contribution as Editor · 1 Further Contribution Co-Authors: 41 Co-Authors with 69 Joint Publications 501 Co-Co-Authors
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### Co-Authors

 50 single-authored 7 Roncal, Luz 6 Boggarapu, Pradeep 6 Narayanan, E. K. 5 Radha, Ramakrishnan 4 Ganguly, Pritam 4 Garg, Rahul 4 Ratnakumar, P. K. 4 Xu, Yuan 3 Bagchi, Sayan 3 Jotsaroop, Kaur 3 Lavanya, R. Lakshmi 3 Naidu, D. Venku 3 Parui, Sanjay 3 Sanjay, P. K. 2 Baklouti, Ali 2 Balhara, Rakesh 2 Bhimani, Divyang G. 2 Krötz, Bernhard J. 2 Manna, Ramesh 2 Rajeev, Bhaskaran 2 Sarkar, Rudra P. 2 Sitaram, Alladi 2 Sundari, Maddala 1 Adimurthi, A. 1 Basak, Riju 1 Ben Saïd, Salem 1 Brandolini, Luca 1 Ciaurri, Óscar 1 Dasgupta, Aparajita 1 Folland, Gerald B. 1 Gigante, Giacomo 1 Hait, Sourav 1 Minakshisundaram, Subbaramiah 1 Nevo, Amos 1 Nicola, Fabio 1 Pati, Vishwambhar 1 Peetre, Jaak 1 Rawat, Rama 1 Sajith, Gopalan 1 Smitha, Chettutty 1 Trapasso, Salvatore Ivan 1 Travaglini, Giancarlo 1 Wallin, Nils-Olof
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 4 Journal d’Analyse Mathématique 4 Studia Mathematica 4 Advances in Mathematics 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 Mathematische Zeitschrift 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 Annales de l’Institut Fourier 2 Publicacions Matemàtiques 2 IMRN. International Mathematics Research Notices 2 Progress in Mathematics 1 Analysis Mathematica 1 Arkiv för Matematik 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 Annalen 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 Revista de la Unión Matemática Argentina 1 Communications in Partial Differential Equations 1 Potential Analysis 1 The New York Journal of Mathematics 1 Integral Transforms and Special Functions 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 Annals of Functional Analysis 1 Ramanujan Mathematical Society Collected Works Series
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### Fields

 74 Abstract harmonic analysis (43-XX) 61 Harmonic analysis on Euclidean spaces (42-XX) 47 Topological groups, Lie groups (22-XX) 26 Partial differential equations (35-XX) 15 Special functions (33-XX) 14 Operator theory (47-XX) 11 Functional analysis (46-XX) 7 Integral transforms, operational calculus (44-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Real functions (26-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Sequences, series, summability (40-XX) 3 Differential geometry (53-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX)

### Citations contained in zbMATH Open

98 Publications have been cited 1,259 times in 757 Documents Cited by Year
Lectures on Hermite and Laguerre expansions. Zbl 0791.41030
Thangavelu, Sundaram
1993
Harmonic analysis on the Heisenberg group. Zbl 0892.43001
Thangavelu, Sundaram
1998
Convolution operator and maximal function for the Dunkl transform. Zbl 1131.43006
Thangavelu, Sundaram; Xu, Yuan
2006
Uncertainty principles on certain Lie groups. Zbl 0857.43011
Sitaram, A.; Sundari, M.; Thangavelu, S.
1995
Riesz transform and Riesz potentials for Dunkl transform. Zbl 1145.44001
Thangavelu, Sundaram; Xu, Yuan
2007
An introduction to the uncertainty principle. Hardy’s theorem on Lie groups. With a foreword by Gerald B. Folland. Zbl 1188.43010
Thangavelu, Sundaram
2004
On regularity of twisted spherical means and special Hermite expansions. Zbl 0821.43005
Thangavelu, S.
1993
Riesz transforms and the wave equation for the Hermite operator. Zbl 0709.35068
Thangavelu, S.
1990
Hardy’s inequality for fractional powers of the sublaplacian on the Heisenberg group. Zbl 1348.43011
Roncal, Luz; Thangavelu, Sundaram
2016
Spherical means and CR functions on the Heisenberg group. Zbl 0822.43001
Thangavelu, S.
1994
Hardy’s inequalities for Hermite and Laguerre expansions. Zbl 1062.42021
2004
The heat kernel transform for the Heisenberg group. Zbl 1075.22005
Krötz, Bernhard; Thangavelu, Sundaram; Xu, Yuan
2005
Hermite and special Hermite expansions revisited. Zbl 0945.42014
Thangavelu, S.
1998
Riesz transforms and multipliers for the Grushin operator. Zbl 1270.35013
Jotsaroop, K.; Sanjay, P. K.; Thangavelu, S.
2013
On theorems of Beurling and Hardy for the Euclidean motion groups. Zbl 1085.22004
Sarkar, Rudra P.; Thangavelu, Sundaram
2005
Hermite and Laguerre semigroups – some recent developments. Zbl 1295.22015
Thangavelu, Sundaram
2012
Multipliers for Hermite expansions. Zbl 0687.42015
Thangavelu, S.
1987
Summability of Hermite expansions. I. Zbl 0685.42015
Thangavelu, S.
1989
On conjugate Poisson integrals and Riesz transforms for the Hermite expansions. Zbl 0821.42016
Thangavelu, S.
1993
An analogue of Hardy’s theorem for the Heisenberg group. Zbl 0965.43002
Thangavelu, S.
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.
1983
Pointwise ergodic theorems for radial averages on the Heisenberg group. Zbl 0888.22002
Nevo, Amos; Thangavelu, Sundaram
1997
Some uncertainty inequalities. Zbl 0731.42024
Thangavelu, S.
1990
Injectivity sets for spherical means on the Heisenberg group. Zbl 0995.43003
Narayanan, E. K.; Thangavelu, S.
2001
Hardy’s theorem for the Helgason Fourier transform on noncompact rank one symmetric spaces. Zbl 1025.22007
Thangavelu, S.
2002
Spherical means on the Heisenberg group and a restriction theorem for the symplectic Fourier transform. Zbl 0785.43003
Thangavelu, S.
1991
Holomorphic Sobolev spaces, Hermite and special Hermite semigroups and a Paley-Wiener theorem for the windowed Fourier transform. Zbl 1168.43005
2009
Littlewood-Paley-Stein theory on $${\mathbb{C}}^ n$$ and Weyl multipliers. Zbl 0734.42010
Thangavelu, S.
1990
Probability representations of solutions to the heat equation. Zbl 1052.35065
Rajeev, B.; Thangavelu, S.
2003
Holomorphic Sobolev spaces associated to compact symmetric spaces. Zbl 1130.22004
Thangavelu, S.
2007
Mixed norm estimates for the Cesàro means associated with Dunkl-Hermite expansions. Zbl 1405.42049
Boggarapu, Pradeep; Roncal, Luz; Thangavelu, Sundaram
2017
On Paley-Wiener theorems for the Heisenberg group. Zbl 0793.43006
Thangavelu, S.
1993
A restriction theorem for the Heisenberg motion group. Zbl 0978.42016
Ratnakumar, P. K.; Rawat, Rama; Thangavelu, S.
1997
Revisiting Hardy’s theorem for the Heisenberg group. Zbl 1045.22010
Thangavelu, S.
2002
Probabilistic representations of solutions of the forward equations. Zbl 1134.60042
Rajeev, B.; Thangavelu, S.
2008
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.
2006
On Paley-Wiener and Hardy theorems for $$NA$$ groups. Zbl 1045.22008
Thangavelu, S.
2003
On almost everywhere and mean convergence of Hermite and Laguerre expansions. Zbl 0747.42014
Thangavelu, S.
1990
Summability of Laguerre expansions. Zbl 0737.41033
Thangavelu, S.
1990
Uniqueness of solutions to Schrödinger equations on $$H$$-type groups. Zbl 1286.22009
Ben Saïd, Salem; Thangavelu, Sundaram; Dogga, Venku Naidu
2013
On Hermite pseudo-multipliers. Zbl 1319.43006
Bagchi, Sayan; Thangavelu, Sundaram
2015
Transplantation, summability and multipliers for multiple Laguerre expansions. Zbl 0788.42008
Thangavelu, Sundaram
1992
Mean periodic functions on phase space and the Pompeiu problem with a twist. Zbl 0831.43003
Thangavelu, Sundaram
1995
An optimal theorem for the spherical maximal operator on the Heisenberg group. Zbl 1062.43016
Narayanan, E. K.; Thangavelu, S.
2004
Multipliers for Hermite and Laguerre Sobolev spaces. Zbl 1094.42008
2004
Revisiting Riesz transforms on Heisenberg groups. Zbl 1258.22004
Sanjay, P. K.; Thangavelu, Sundaram
2012
Harmonic analysis on Heisenberg nilmanifolds. Zbl 1286.43011
Thangavelu, Sundaram
2009
On theorems of Beurling and Hardy for certain step two nilpotent groups. Zbl 1162.43003
Parui, Sanjay; Thangavelu, Sundaram
2009
Summability of Hermite expansions. II. Zbl 0685.42016
Thangavelu, S.
1989
A Paley-Wiener theorem for step two nilpotent Lie groups. Zbl 0820.43004
Thangavelu, Sundaram
1994
Gutzmer’s formula and Poisson integrals on the Heisenberg group. Zbl 1149.43008
Thangavelu, Sundaram
2007
On the injectivity of twisted spherical means of $$\mathbb{C}^n$$. Zbl 0986.43001
Sajith, G.; Thangavelu, S.
2001
On theorems of Hardy, Gelfand-Shilov and Beurling for semisimple groups. Zbl 1050.22014
Thangavelu, Sundaram
2004
Some restriction theorems for the Heisenberg group. Zbl 0747.43003
Thangavelu, S.
1991
Weyl multipliers, Bochner-Riesz means and special Hermite expansions. Zbl 0765.42009
Thangavelu, S.
1991
An analogue of Gutzmer’s formula for Hermite expansions. Zbl 1283.42013
Thangavelu, S.
2008
Revisiting the Fourier transform on the Heisenberg group. Zbl 1285.43003
Lavanya, R. Lakshmi; Thangavelu, S.
2014
Poisson transform for the Heisenberg group and eigenfunctions of the sublaplacian. Zbl 1100.22008
Thangavelu, S.
2006
An uncertainty principle for eigenfunction expansions. Zbl 1056.42511
Pati, V.; Sitaram, A.; Sundari, M.; Thangavelu, S.
1996
Variations on a theorem of Cowling and Price with applications to nilpotent Lie groups. Zbl 1120.43002
Parui, S.; Thangavelu, S.
2007
On the unreasonable effectiveness of Gutzmer’s formula. Zbl 1194.43007
Thangavelu, Sundaram
2010
Hardy-type inequalities for fractional Powers of the Dunkl-Hermite operator. Zbl 1435.26013
Ciaurri, Óscar; Roncal, Luz; Thangavelu, Sundaram
2018
An extension problem and trace Hardy inequality for the sub-Laplacian on $$H$$-type groups. Zbl 1484.35015
Roncal, Luz; Thangavelu, Sundaram
2020
A note on a transplantation theorem of Kanjin and multiple Laguerre expansions. Zbl 0823.42017
Thangavelu, S.
1993
On the maximal function associated to the spherical means on the Heisenberg group. Zbl 1486.43007
Bagchi, Sayan; Hait, Sourav; Roncal, Luz; Thangavelu, Sundaram
2021
On Strichartz’s uncertainty inequality for the Heisenberg group. Zbl 1047.42010
Smitha, Chettutty; Thangavelu, Sundaram
2003
Variants of Miyachi’s theorem for nilpotent Lie groups. Zbl 1193.22009
Baklouti, Ali; Thangavelu, Sundaram
2010
A characterisation of the Fourier transform on the Heisenberg group. Zbl 1260.43010
Lavanya, R. Lakshmi; Thangavelu, S.
2012
Analyticity of the Schrödinger propagator on the Heisenberg group. Zbl 1256.22004
Parui, S.; Ratnakumar, P. K.; Thangavelu, S.
2012
Spherical means, wave equations, and Hermite-Laguerre expansions. Zbl 0910.42008
Ratnakumar, P. K.; Thangavelu, S.
1998
A Paley-Wiener theorem for the inverse Fourier transform on some homogeneous spaces. Zbl 1143.22008
Thangavelu, S.
2007
Restriction theorems for the Heisenberg group. Zbl 0708.43003
Thangavelu, S.
1991
On extension problem, trace Hardy and Hardy’s inequalities for some fractional Laplacians. Zbl 1481.35017
Boggarapu, Pradeep; Roncal, Luz; Thangavelu, Sundaram
2019
Theorems of Chernoff and Ingham for certain eigenfunction expansions. Zbl 1477.43009
Ganguly, Pritam; Thangavelu, Sundaram
2021
Hermite multipliers on modulation spaces. Zbl 1414.35183
Bhimani, Divyang G.; Balhara, Rakesh; Thangavelu, Sundaram
2019
Gutzmer’s formula and the Segal-Bargmann transform. Zbl 1187.22007
Thangavelu, S.
2009
Some remarks on Bochner-Riesz means. Zbl 0968.42011
Thangavelu, S.
2000
A multiplier theorem for the sublaplacian on the Heisenberg group. Zbl 0754.43005
Thangavelu, S.
1991
Weyl multipliers for invariant Sobolev spaces. Zbl 0934.46039
1998
$$L^p$$ estimates for the wave equation associated to the Grushin operator. Zbl 1318.42035
Jotsaroop, Kaur; Thangavelu, Sundaram
2014
Heat kernel transform for nilmanifolds associated to the Heisenberg group. Zbl 1153.22009
Krötz, Bernhard; Thangavelu, Sundaram; Xu, Yuan
2008
Hermite expansions on $${\mathbb{R}}^{2n}$$ for radial functions. Zbl 0732.42019
Thangavelu, S.
1990
On the Hermite expansions of functions from the Hardy class. Zbl 1198.42029
Garg, Rahul; Thangavelu, Sundaram
2010
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
2013
Weighted norm inequalities for Weyl multipliers and Fourier multipliers on the Heisenberg group. Zbl 1440.42039
Bagchi, Sayan; Thangavelu, Sundaram
2018
Hardy and Miyachi theorems for Heisenberg motion groups. Zbl 1409.43003
Baklouti, Ali; Thangavelu, Sundaram
2018
On the lacunary spherical maximal function on the Heisenberg group. Zbl 1470.43011
Ganguly, Pritam; Thangavelu, Sundaram
2021
Hermite expansions on $${\mathbb{R}}^ n$$ for radial functions. Zbl 0781.42030
Thangavelu, S.
1993
Local ergodic theorems for $$K$$-spherical averages on the Heisenberg group. Zbl 0957.22005
Thangavelu, S.
2000
On the structure of analytic vectors for the Schrödinger representation. Zbl 1267.42035
Garg, Rahul; Thangavelu, Sundaram
2012
Toeplitz operators with special symbols on Segal-Bargmann spaces. Zbl 1233.47023
Jotsaroop, K.; Thangavelu, S.
2011
An analogue of the Wiener Tauberian theorem for the Heisenberg motion group. Zbl 1226.43004
Sarkar, Rudra P.; Thangavelu, Sundaram
2007
Riesz means for the sublaplacian on the Heisenberg group. Zbl 0726.43010
Thangavelu, S.
1990
Dimension free boundedness of Riesz transforms for the Grushin operator. Zbl 1305.43008
Sanjay, P. K.; Thangavelu, S.
2014
Multipliers for the Weyl transform and Laguerre expansions. Zbl 0734.42009
Thangavelu, S.
1990
A characterisation of the Weyl transform. Zbl 1246.42008
Lakshmi Lavanya, R.; Thangavelu, S.
2012
A survey of Hardy type theorems. Zbl 1092.43006
Thangavelu, S.
2005
$$L^{p}-L^{2}$$ estimates for solutions of the wave equation associated to the Grushin operator. Zbl 1391.35089
Thangavelu, Sundaram; Dogga, Venku Naidu
2018
On the maximal function associated to the spherical means on the Heisenberg group. Zbl 1486.43007
Bagchi, Sayan; Hait, Sourav; Roncal, Luz; Thangavelu, Sundaram
2021
Theorems of Chernoff and Ingham for certain eigenfunction expansions. Zbl 1477.43009
Ganguly, Pritam; Thangavelu, Sundaram
2021
On the lacunary spherical maximal function on the Heisenberg group. Zbl 1470.43011
Ganguly, Pritam; Thangavelu, Sundaram
2021
An extension problem and trace Hardy inequality for the sub-Laplacian on $$H$$-type groups. Zbl 1484.35015
Roncal, Luz; Thangavelu, Sundaram
2020
On extension problem, trace Hardy and Hardy’s inequalities for some fractional Laplacians. Zbl 1481.35017
Boggarapu, Pradeep; Roncal, Luz; Thangavelu, Sundaram
2019
Hermite multipliers on modulation spaces. Zbl 1414.35183
Bhimani, Divyang G.; Balhara, Rakesh; Thangavelu, Sundaram
2019
Hardy-type inequalities for fractional Powers of the Dunkl-Hermite operator. Zbl 1435.26013
Ciaurri, Óscar; Roncal, Luz; Thangavelu, Sundaram
2018
Weighted norm inequalities for Weyl multipliers and Fourier multipliers on the Heisenberg group. Zbl 1440.42039
Bagchi, Sayan; Thangavelu, Sundaram
2018
Hardy and Miyachi theorems for Heisenberg motion groups. Zbl 1409.43003
Baklouti, Ali; Thangavelu, Sundaram
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
2018
Mixed norm estimates for the Cesàro means associated with Dunkl-Hermite expansions. Zbl 1405.42049
Boggarapu, Pradeep; Roncal, Luz; Thangavelu, Sundaram
2017
Hardy’s inequality for fractional powers of the sublaplacian on the Heisenberg group. Zbl 1348.43011
Roncal, Luz; Thangavelu, Sundaram
2016
On Hermite pseudo-multipliers. Zbl 1319.43006
Bagchi, Sayan; Thangavelu, Sundaram
2015
Revisiting the Fourier transform on the Heisenberg group. Zbl 1285.43003
Lavanya, R. Lakshmi; Thangavelu, S.
2014
$$L^p$$ estimates for the wave equation associated to the Grushin operator. Zbl 1318.42035
Jotsaroop, Kaur; Thangavelu, Sundaram
2014
Dimension free boundedness of Riesz transforms for the Grushin operator. Zbl 1305.43008
Sanjay, P. K.; Thangavelu, S.
2014
Riesz transforms and multipliers for the Grushin operator. Zbl 1270.35013
Jotsaroop, K.; Sanjay, P. K.; Thangavelu, S.
2013
Uniqueness of solutions to Schrödinger equations on $$H$$-type groups. Zbl 1286.22009
Ben Saïd, Salem; Thangavelu, Sundaram; Dogga, Venku Naidu
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
2013
Hermite and Laguerre semigroups – some recent developments. Zbl 1295.22015
Thangavelu, Sundaram
2012
Revisiting Riesz transforms on Heisenberg groups. Zbl 1258.22004
Sanjay, P. K.; Thangavelu, Sundaram
2012
A characterisation of the Fourier transform on the Heisenberg group. Zbl 1260.43010
Lavanya, R. Lakshmi; Thangavelu, S.
2012
Analyticity of the Schrödinger propagator on the Heisenberg group. Zbl 1256.22004
Parui, S.; Ratnakumar, P. K.; Thangavelu, S.
2012
On the structure of analytic vectors for the Schrödinger representation. Zbl 1267.42035
Garg, Rahul; Thangavelu, Sundaram
2012
A characterisation of the Weyl transform. Zbl 1246.42008
Lakshmi Lavanya, R.; Thangavelu, S.
2012
Toeplitz operators with special symbols on Segal-Bargmann spaces. Zbl 1233.47023
Jotsaroop, K.; Thangavelu, S.
2011
On the unreasonable effectiveness of Gutzmer’s formula. Zbl 1194.43007
Thangavelu, Sundaram
2010
Variants of Miyachi’s theorem for nilpotent Lie groups. Zbl 1193.22009
Baklouti, Ali; Thangavelu, Sundaram
2010
On the Hermite expansions of functions from the Hardy class. Zbl 1198.42029
Garg, Rahul; Thangavelu, Sundaram
2010
Holomorphic Sobolev spaces, Hermite and special Hermite semigroups and a Paley-Wiener theorem for the windowed Fourier transform. Zbl 1168.43005
2009
Harmonic analysis on Heisenberg nilmanifolds. Zbl 1286.43011
Thangavelu, Sundaram
2009
On theorems of Beurling and Hardy for certain step two nilpotent groups. Zbl 1162.43003
Parui, Sanjay; Thangavelu, Sundaram
2009
Gutzmer’s formula and the Segal-Bargmann transform. Zbl 1187.22007
Thangavelu, S.
2009
Probabilistic representations of solutions of the forward equations. Zbl 1134.60042
Rajeev, B.; Thangavelu, S.
2008
An analogue of Gutzmer’s formula for Hermite expansions. Zbl 1283.42013
Thangavelu, S.
2008
Heat kernel transform for nilmanifolds associated to the Heisenberg group. Zbl 1153.22009
Krötz, Bernhard; Thangavelu, Sundaram; Xu, Yuan
2008
Riesz transform and Riesz potentials for Dunkl transform. Zbl 1145.44001
Thangavelu, Sundaram; Xu, Yuan
2007
Holomorphic Sobolev spaces associated to compact symmetric spaces. Zbl 1130.22004
Thangavelu, S.
2007
Gutzmer’s formula and Poisson integrals on the Heisenberg group. Zbl 1149.43008
Thangavelu, Sundaram
2007
Variations on a theorem of Cowling and Price with applications to nilpotent Lie groups. Zbl 1120.43002
Parui, S.; Thangavelu, S.
2007
A Paley-Wiener theorem for the inverse Fourier transform on some homogeneous spaces. Zbl 1143.22008
Thangavelu, S.
2007
An analogue of the Wiener Tauberian theorem for the Heisenberg motion group. Zbl 1226.43004
Sarkar, Rudra P.; Thangavelu, Sundaram
2007
Convolution operator and maximal function for the Dunkl transform. Zbl 1131.43006
Thangavelu, Sundaram; Xu, Yuan
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.
2006
Poisson transform for the Heisenberg group and eigenfunctions of the sublaplacian. Zbl 1100.22008
Thangavelu, S.
2006
The heat kernel transform for the Heisenberg group. Zbl 1075.22005
Krötz, Bernhard; Thangavelu, Sundaram; Xu, Yuan
2005
On theorems of Beurling and Hardy for the Euclidean motion groups. Zbl 1085.22004
Sarkar, Rudra P.; Thangavelu, Sundaram
2005
A survey of Hardy type theorems. Zbl 1092.43006
Thangavelu, S.
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
2004
Hardy’s inequalities for Hermite and Laguerre expansions. Zbl 1062.42021
2004
An optimal theorem for the spherical maximal operator on the Heisenberg group. Zbl 1062.43016
Narayanan, E. K.; Thangavelu, S.
2004
Multipliers for Hermite and Laguerre Sobolev spaces. Zbl 1094.42008
2004
On theorems of Hardy, Gelfand-Shilov and Beurling for semisimple groups. Zbl 1050.22014
Thangavelu, Sundaram
2004
Probability representations of solutions to the heat equation. Zbl 1052.35065
Rajeev, B.; Thangavelu, S.
2003
On Paley-Wiener and Hardy theorems for $$NA$$ groups. Zbl 1045.22008
Thangavelu, S.
2003
On Strichartz’s uncertainty inequality for the Heisenberg group. Zbl 1047.42010
Smitha, Chettutty; Thangavelu, Sundaram
2003
Hardy’s theorem for the Helgason Fourier transform on noncompact rank one symmetric spaces. Zbl 1025.22007
Thangavelu, S.
2002
Revisiting Hardy’s theorem for the Heisenberg group. Zbl 1045.22010
Thangavelu, S.
2002
An analogue of Hardy’s theorem for the Heisenberg group. Zbl 0965.43002
Thangavelu, S.
2001
Injectivity sets for spherical means on the Heisenberg group. Zbl 0995.43003
Narayanan, E. K.; Thangavelu, S.
2001
On the injectivity of twisted spherical means of $$\mathbb{C}^n$$. Zbl 0986.43001
Sajith, G.; Thangavelu, S.
2001
Some remarks on Bochner-Riesz means. Zbl 0968.42011
Thangavelu, S.
2000
Local ergodic theorems for $$K$$-spherical averages on the Heisenberg group. Zbl 0957.22005
Thangavelu, S.
2000
Harmonic analysis on the Heisenberg group. Zbl 0892.43001
Thangavelu, Sundaram
1998
Hermite and special Hermite expansions revisited. Zbl 0945.42014
Thangavelu, S.
1998
Spherical means, wave equations, and Hermite-Laguerre expansions. Zbl 0910.42008
Ratnakumar, P. K.; Thangavelu, S.
1998
Weyl multipliers for invariant Sobolev spaces. Zbl 0934.46039
1998
Pointwise ergodic theorems for radial averages on the Heisenberg group. Zbl 0888.22002
Nevo, Amos; Thangavelu, Sundaram
1997
A restriction theorem for the Heisenberg motion group. Zbl 0978.42016
Ratnakumar, P. K.; Rawat, Rama; Thangavelu, S.
1997
An uncertainty principle for eigenfunction expansions. Zbl 1056.42511
Pati, V.; Sitaram, A.; Sundari, M.; Thangavelu, S.
1996
Uncertainty principles on certain Lie groups. Zbl 0857.43011
Sitaram, A.; Sundari, M.; Thangavelu, S.
1995
Mean periodic functions on phase space and the Pompeiu problem with a twist. Zbl 0831.43003
Thangavelu, Sundaram
1995
Spherical means and CR functions on the Heisenberg group. Zbl 0822.43001
Thangavelu, S.
1994
A Paley-Wiener theorem for step two nilpotent Lie groups. Zbl 0820.43004
Thangavelu, Sundaram
1994
Lectures on Hermite and Laguerre expansions. Zbl 0791.41030
Thangavelu, Sundaram
1993
On regularity of twisted spherical means and special Hermite expansions. Zbl 0821.43005
Thangavelu, S.
1993
On conjugate Poisson integrals and Riesz transforms for the Hermite expansions. Zbl 0821.42016
Thangavelu, S.
1993
On Paley-Wiener theorems for the Heisenberg group. Zbl 0793.43006
Thangavelu, S.
1993
A note on a transplantation theorem of Kanjin and multiple Laguerre expansions. Zbl 0823.42017
Thangavelu, S.
1993
Hermite expansions on $${\mathbb{R}}^ n$$ for radial functions. Zbl 0781.42030
Thangavelu, S.
1993
Transplantation, summability and multipliers for multiple Laguerre expansions. Zbl 0788.42008
Thangavelu, Sundaram
1992
Spherical means on the Heisenberg group and a restriction theorem for the symplectic Fourier transform. Zbl 0785.43003
Thangavelu, S.
1991
Some restriction theorems for the Heisenberg group. Zbl 0747.43003
Thangavelu, S.
1991
Weyl multipliers, Bochner-Riesz means and special Hermite expansions. Zbl 0765.42009
Thangavelu, S.
1991
Restriction theorems for the Heisenberg group. Zbl 0708.43003
Thangavelu, S.
1991
A multiplier theorem for the sublaplacian on the Heisenberg group. Zbl 0754.43005
Thangavelu, S.
1991
Riesz transforms and the wave equation for the Hermite operator. Zbl 0709.35068
Thangavelu, S.
1990
Some uncertainty inequalities. Zbl 0731.42024
Thangavelu, S.
1990
Littlewood-Paley-Stein theory on $${\mathbb{C}}^ n$$ and Weyl multipliers. Zbl 0734.42010
Thangavelu, S.
1990
On almost everywhere and mean convergence of Hermite and Laguerre expansions. Zbl 0747.42014
Thangavelu, S.
1990
Summability of Laguerre expansions. Zbl 0737.41033
Thangavelu, S.
1990
Hermite expansions on $${\mathbb{R}}^{2n}$$ for radial functions. Zbl 0732.42019
Thangavelu, S.
1990
Riesz means for the sublaplacian on the Heisenberg group. Zbl 0726.43010
Thangavelu, S.
1990
Multipliers for the Weyl transform and Laguerre expansions. Zbl 0734.42009
Thangavelu, S.
1990
Summability of Hermite expansions. I. Zbl 0685.42015
Thangavelu, S.
1989
Summability of Hermite expansions. II. Zbl 0685.42016
Thangavelu, S.
1989
Multipliers for Hermite expansions. Zbl 0687.42015
Thangavelu, S.
1987
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.
1983
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### Cited by 711 Authors

 60 Thangavelu, Sundaram 18 Torrea, José Luis 16 Huang, Jizheng 16 Mejjaoli, Hatem 13 Baklouti, Ali 13 Betancor Perez, Jorge Juan 13 Roncal, Luz 12 Ciaurri, Óscar 12 Liu, Heping 11 Parui, Sanjay 11 Ratnakumar, P. K. 10 Amri, Bechir 10 Dziubański, Jacek 10 Stempak, Krzysztof 10 Wong, Man Wah 10 Xu, Yuan 9 Ghanmi, Allal 9 Li, Zhongkai 9 Naidu, D. Venku 9 Narayanan, E. K. 9 Radha, Ramakrishnan 9 Rodríguez-Mesa, Lourdes 9 Trimèche, Khalifa 9 Volchkov, Valeriĭ Vladimirovich 9 Volchkov, Vitaliĭ Vladimirovich 8 Daher, Radouan 8 Duong, Xuan Thinh 8 Fariña, Juan Carlos 8 The Anh Bui 8 Zhao, Jiman 7 Castro, Alejandro J. 7 Chen, Peng 7 Dai, Feng 7 He, Jianxun 7 Ivanov, Valerĭ Ivanovich 7 Rajeev, Bhaskaran 7 Sikora, Adam S. 7 Viviani, Beatriz E. 6 Boggarapu, Pradeep 6 Deleaval, Luc 6 Hejna, Agnieszka 6 Molahajloo, Shahla 6 Ochakovskaya, Oksana Aleksandrovna 6 Rawat, Rama 6 Sarkar, Rudra P. 6 Sifi, Mohamed 6 Smaoui, Kais 6 Soltani, Fethi 6 Varona Malumbres, Juan Luis 6 Xiao, Jinsen 5 Abdelkefi, Chokri 5 Anoop, V. P. 5 Bhar, Suprio 5 Bhowmik, Mithun 5 Cho, Hong Rae 5 Escauriaza Zubiria, Luis 5 Gorbachëv, Dmitriĭ Viktorovich 5 Müller, Detlef 5 Nowak, Adam 5 Øksendal, Bernt Karsten 5 Schröder, Michael 5 Sen, Suparna 5 Sundari, Maddala 5 Wróbel, Błażej Jan 5 Yan, Lixin 4 Azaouzi, Salma 4 Bagchi, Sayan 4 Ben Saïd, Salem 4 Ciatti, Paolo 4 Ditzian, Zeev 4 Fanelli, Luca 4 Fernández-Bertolin, Aingeru 4 Ganguly, Pritam 4 Harboure, Eleonor O. 4 Kagawa, Toshinao 4 Kenig, Carlos Eduardo 4 Labarga Varona, Edgar 4 Manna, Ramesh 4 Martini, Alessio 4 Mityagin, Boris Samuilovich 4 Plewa, Paweł 4 Ponce, Gustavo 4 Ricci, Fulvio 4 Shi, Yehao 4 Sohani, Vijay Kumar 4 Stinga, Pablo Raúl 4 Sun, Wenchang 4 Tikhonov, Sergey Yur’evich 4 Vega, Luis 3 Almeida, Víctor M. 3 Anker, Jean-Philippe 3 Arenas, Alberto 3 Assal, Miloud 3 Astengo, Francesca 3 Boggess, Albert 3 Casarino, Valentina 3 Cassano, Biagio 3 Chang, Der-Chen E. 3 Cowling, Michael G. 3 Curbelo, Jezabel ...and 611 more Authors
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### Cited in 193 Serials

 43 Journal of Functional Analysis 30 The Journal of Fourier Analysis and Applications 30 Journal of Pseudo-Differential Operators and Applications 28 Integral Transforms and Special Functions 27 Journal of Mathematical Analysis and Applications 21 Proceedings of the American Mathematical Society 20 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 17 Transactions of the American Mathematical Society 16 Advances in Mathematics 14 Journal d’Analyse Mathématique 13 Potential Analysis 12 Complex Analysis and Operator Theory 11 Israel Journal of Mathematics 11 Journal of Approximation Theory 11 Monatshefte für Mathematik 11 Journal of Inequalities and Applications 10 Mathematical Notes 9 Indian Journal of Pure & Applied Mathematics 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Tôhoku Mathematical Journal. Second Series 9 The Journal of Geometric Analysis 9 Bulletin des Sciences Mathématiques 9 Acta Mathematica Sinica. English Series 9 Mediterranean Journal of Mathematics 8 Mathematische Zeitschrift 8 Communications in Partial Differential Equations 8 Infinite Dimensional Analysis, Quantum Probability and Related Topics 8 Advances in Pure and Applied Mathematics 7 Annales de l’Institut Fourier 7 Mathematische Annalen 6 Constructive Approximation 6 Journal of Mathematical Sciences (New York) 6 Journal of the Australian Mathematical Society 6 Advances in Operator Theory 5 Duke Mathematical Journal 5 Integral Equations and Operator Theory 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Doklady Mathematics 5 Journal of Function Spaces 4 Analysis Mathematica 4 Applicable Analysis 4 Journal of Mathematical Physics 4 Journal of the Mathematical Society of Japan 4 Manuscripta Mathematica 4 Acta Mathematica Hungarica 4 Revista Matemática Iberoamericana 4 Annales Mathématiques Blaise Pascal 4 Communications on Pure and Applied Analysis 4 Science China. Mathematics 3 Advances in Applied Probability 3 Bulletin of the Australian Mathematical Society 3 Communications in Mathematical Physics 3 Arkiv för Matematik 3 Archiv der Mathematik 3 Colloquium Mathematicum 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Computational and Applied Mathematics 3 Mathematische Nachrichten 3 Results in Mathematics 3 Semigroup Forum 3 Tokyo Journal of Mathematics 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Bulletin of the American Mathematical Society. New Series 3 Russian Mathematics 3 The Journal of Analysis 3 Calculus of Variations and Partial Differential Equations 3 Applied and Computational Harmonic Analysis 3 Abstract and Applied Analysis 3 Positivity 3 Mathematical Inequalities & Applications 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Complex Variables and Elliptic Equations 3 Banach Journal of Mathematical Analysis 2 Letters in Mathematical Physics 2 Rocky Mountain Journal of Mathematics 2 Studia Mathematica 2 Ukrainian Mathematical Journal 2 Journal of Geometry and Physics 2 Canadian Journal of Mathematics 2 Collectanea Mathematica 2 Journal of Differential Equations 2 Nagoya Mathematical Journal 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Applied Numerical Mathematics 2 Publicacions Matemàtiques 2 International Journal of Mathematics 2 SIAM Journal on Mathematical Analysis 2 Indagationes Mathematicae. New Series 2 Applied Mathematics. Series B (English Edition) 2 Journal of Lie Theory 2 Mathematical Finance 2 Revista Matemática Complutense 2 Journal of the European Mathematical Society (JEMS) 2 Journal of High Energy Physics 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Analysis in Theory and Applications 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Journal of Function Spaces and Applications 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications ...and 93 more Serials
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### Cited in 43 Fields

 360 Harmonic analysis on Euclidean spaces (42-XX) 207 Abstract harmonic analysis (43-XX) 173 Partial differential equations (35-XX) 120 Operator theory (47-XX) 113 Topological groups, Lie groups (22-XX) 112 Functional analysis (46-XX) 110 Special functions (33-XX) 75 Integral transforms, operational calculus (44-XX) 45 Real functions (26-XX) 44 Probability theory and stochastic processes (60-XX) 39 Quantum theory (81-XX) 25 Functions of a complex variable (30-XX) 24 Global analysis, analysis on manifolds (58-XX) 21 Several complex variables and analytic spaces (32-XX) 21 Approximations and expansions (41-XX) 19 Differential geometry (53-XX) 14 Ordinary differential equations (34-XX) 13 Numerical analysis (65-XX) 12 Potential theory (31-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Number theory (11-XX) 9 Dynamical systems and ergodic theory (37-XX) 7 Difference and functional equations (39-XX) 7 Integral equations (45-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Geometry (51-XX) 6 Statistics (62-XX) 5 Information and communication theory, circuits (94-XX) 4 Group theory and generalizations (20-XX) 4 Sequences, series, summability (40-XX) 3 Combinatorics (05-XX) 3 Nonassociative rings and algebras (17-XX) 3 Convex and discrete geometry (52-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Algebraic geometry (14-XX) 2 Measure and integration (28-XX) 2 Relativity and gravitational theory (83-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)