Thangavelu, Sundaram
Overview
Works:  31 works in 76 publications in 1 language and 1,232 library holdings 

Roles:  Author, htt, Editor, Other 
Publication Timeline
.
Most widely held works by
Sundaram Thangavelu
Harmonic analysis on the Heisenberg group by
Sundaram Thangavelu(
Book
)
15 editions published in 1998 in English and held by 345 WorldCat member libraries worldwide
The aim of this text is to demonstrate how the standard results of abelian harmonic analysis take shape in the nonabelian setup of the Heisenberg group. Several results in this monograph appear for the first time in book form, and some theorems have not appeared elsewhere. The detailed discussion of the representation theory of the Heisenberg group goes well beyond the basic Stonevon Neumann theorem, and its relations to classical special functions is invaluable for any reader interested in this group. Topics covered include the Plancherel and PaleyWiener theorems, spectral theory of the sublaplacian, WienerTauberian theorems, BochnerRiesz means and multipliers for the Fourier transform. Thangavelu's exposition is clear and well developed, and leads to several problems worthy of further consideration. Any reader who is interested in pursuing research on the Heisenberg group will find this unique and selfcontained text invaluable
15 editions published in 1998 in English and held by 345 WorldCat member libraries worldwide
The aim of this text is to demonstrate how the standard results of abelian harmonic analysis take shape in the nonabelian setup of the Heisenberg group. Several results in this monograph appear for the first time in book form, and some theorems have not appeared elsewhere. The detailed discussion of the representation theory of the Heisenberg group goes well beyond the basic Stonevon Neumann theorem, and its relations to classical special functions is invaluable for any reader interested in this group. Topics covered include the Plancherel and PaleyWiener theorems, spectral theory of the sublaplacian, WienerTauberian theorems, BochnerRiesz means and multipliers for the Fourier transform. Thangavelu's exposition is clear and well developed, and leads to several problems worthy of further consideration. Any reader who is interested in pursuing research on the Heisenberg group will find this unique and selfcontained text invaluable
Lectures on Hermite and Laguerre expansions by
Sundaram Thangavelu(
Book
)
8 editions published in 1993 in English and held by 313 WorldCat member libraries worldwide
8 editions published in 1993 in English and held by 313 WorldCat member libraries worldwide
An introduction to the uncertainty principle : Hardy's theorem on Lie groups by
Sundaram Thangavelu(
Book
)
15 editions published between 2003 and 2004 in English and held by 309 WorldCat member libraries worldwide
"The central theme and motivation of this monograph is the development of analogs of Hardy's Theorem in settings that arise from noncommutative harmonic analysis. Specifically, the book is devoted in part to variations of the mathematical Uncertainty Principle  Hardy's Theorem is one interpretation  which states that a function and its Fourier transform cannot simultaneously be very small
15 editions published between 2003 and 2004 in English and held by 309 WorldCat member libraries worldwide
"The central theme and motivation of this monograph is the development of analogs of Hardy's Theorem in settings that arise from noncommutative harmonic analysis. Specifically, the book is devoted in part to variations of the mathematical Uncertainty Principle  Hardy's Theorem is one interpretation  which states that a function and its Fourier transform cannot simultaneously be very small
Lectures on partial differential equations : lectures delivered at the Indian Institute of Science, Bangalore under the T.I.F.R.I.I.
Sc. Programme in Applications of Mathematics by
G. B Folland(
Book
)
5 editions published in 1983 in English and held by 181 WorldCat member libraries worldwide
5 editions published in 1983 in English and held by 181 WorldCat member libraries worldwide
Quantization and arithmetic by
Andre Unterberger(
)
3 editions published in 2008 in English and held by 23 WorldCat member libraries worldwide
"The primary aim of this book is to create situations in which the zeta function, or other Lfunctions, will appear in spectraltheoretic questions. A secondary aim is to connect pseudodifferential analysis, or quantization theory, to analytic number theory. Both are attained through the analysis of operators on functions on the line by means of their diagonal matrix elements against families of arithmetic coherent states: these are families of discretely supported measures on the line, transforming in specific ways under the part of the metaplectic representation or, more generally, representations from the discrete series of SL(2,R), lying above an arithmetic group such as SL(2,Z)." "The book is addressed to a wide audience of advanced graduate students and researchers working in analytic number theory, pseudodifferential analysis or quantization theory."Jacket
3 editions published in 2008 in English and held by 23 WorldCat member libraries worldwide
"The primary aim of this book is to create situations in which the zeta function, or other Lfunctions, will appear in spectraltheoretic questions. A secondary aim is to connect pseudodifferential analysis, or quantization theory, to analytic number theory. Both are attained through the analysis of operators on functions on the line by means of their diagonal matrix elements against families of arithmetic coherent states: these are families of discretely supported measures on the line, transforming in specific ways under the part of the metaplectic representation or, more generally, representations from the discrete series of SL(2,R), lying above an arithmetic group such as SL(2,Z)." "The book is addressed to a wide audience of advanced graduate students and researchers working in analytic number theory, pseudodifferential analysis or quantization theory."Jacket
An introduction to the uncertainty principle by
Sundaram Thangavelu(
Book
)
1 edition published in 2003 in English and held by 21 WorldCat member libraries worldwide
1 edition published in 2003 in English and held by 21 WorldCat member libraries worldwide
Lectures on Hermite and Laguerre expansions by
Sundaram Thangavelu(
Book
)
1 edition published in 1993 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1993 in English and held by 3 WorldCat member libraries worldwide
Lectures on partial differential equations by
Gerald B Folland(
Book
)
1 edition published in 1983 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1983 in English and held by 3 WorldCat member libraries worldwide
The heat kernel transform for the Heisenberg group by
Bernhard Krötz(
Book
)
2 editions published in 2005 in English and held by 3 WorldCat member libraries worldwide
Abstract: "The heat kernel transform H[subscript t] is studied for the Heisenberg group in detail. The main result shows that the image of H[subscript t] is a direct sum of two weighted Bergman spaces, in contrast to the classical case of R[superscript n] and compact symmetric spaces, and the weight functions are found to be (surprisingly) not nonnegative."
2 editions published in 2005 in English and held by 3 WorldCat member libraries worldwide
Abstract: "The heat kernel transform H[subscript t] is studied for the Heisenberg group in detail. The main result shows that the image of H[subscript t] is a direct sum of two weighted Bergman spaces, in contrast to the classical case of R[superscript n] and compact symmetric spaces, and the weight functions are found to be (surprisingly) not nonnegative."
An Extension problem and trace hardy inequality for the sublaplacian on HType goups by
Luz Roncal(
)
2 editions published in 2017 in English and held by 3 WorldCat member libraries worldwide
In this paper we study the extension problem for the sublaplacian on a Htype group and use the solutions to prove trace Hardy and Hardy inequalities for fractional powers of the sublaplacian
2 editions published in 2017 in English and held by 3 WorldCat member libraries worldwide
In this paper we study the extension problem for the sublaplacian on a Htype group and use the solutions to prove trace Hardy and Hardy inequalities for fractional powers of the sublaplacian
Selected topics in pediatrics for practitioners(
Book
)
1 edition published in 2001 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2001 in English and held by 3 WorldCat member libraries worldwide
An introduction to the uncertainty principle : Hardy's theorem on Lie groups by
Sundaram Thangavelu(
Book
)
1 edition published in 2004 in English and held by 3 WorldCat member libraries worldwide
"The central theme and motivation of this monograph is the development of analogs of Hardy's Theorem in settings that arise from noncommutative harmonic analysis. Specifically, the book is devoted in part to variations of the mathematical Uncertainty Principle  Hardy's Theorem is one interpretation  which states that a function and its Fourier transform cannot simultaneously be very small
1 edition published in 2004 in English and held by 3 WorldCat member libraries worldwide
"The central theme and motivation of this monograph is the development of analogs of Hardy's Theorem in settings that arise from noncommutative harmonic analysis. Specifically, the book is devoted in part to variations of the mathematical Uncertainty Principle  Hardy's Theorem is one interpretation  which states that a function and its Fourier transform cannot simultaneously be very small
Collected works of S. Minakshisundaram by
Subbaramiah Minakshisundaram(
Book
)
2 editions published in 2012 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 2012 in English and held by 2 WorldCat member libraries worldwide
Lectures on partial differential equations by
G. B Folland(
Book
)
1 edition published in 1983 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1983 in English and held by 2 WorldCat member libraries worldwide
Riesz means and multipliers for Hermite expansions by
Sundaram Thangavelu(
Book
)
2 editions published in 1987 in Undetermined and English and held by 2 WorldCat member libraries worldwide
2 editions published in 1987 in Undetermined and English and held by 2 WorldCat member libraries worldwide
Hardy's theorem for the Helgason Fourier transform on noncompact rank one symmetric spaces by
Sundaram Thangavelu(
)
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
On the Hermite expansions of functions from the Hardy class by
Rahul Garg(
)
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
Heat kernel transform for nilmanifolds associated to the Heisenberg group(
)
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
A restriction theorem for the Heisenberg motion group by
P. K Ratnakumar(
)
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
Oscillating multipliers on the Heisenberg group by
E. K Narayanan(
)
1 edition published in 2001 in English and held by 1 WorldCat member library worldwide
1 edition published in 2001 in English and held by 1 WorldCat member library worldwide
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Automorphic forms Bergman spaces Differential equations, Partial Discontinuous groups Fourier analysis Functional analysis Group theory Harmonic analysis Heisenberg uncertainty principle Hermite polynomials Homogeneous spaces Kernel functions Laguerre polynomials Lie groups Mathematical physics Mathematics Nilpotent Lie groups Number theory Operator theory Pediatric nursing Pseudodifferential operators Representations of groups Topological groups
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Alternative Names
Sundaram Thangavelu Indian scientist
Thangavelu, S.
Thangavelu, S. 1957
Languages