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Item Details
Title: HARMONIC ANALYSIS ON THE HEISENBERG GROUP
By: Sundaram Thangavelu
Format: Hardback

List price: £39.00


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ISBN 10: 3764340509
ISBN 13: 9783764340506
Publisher: BIRKHAUSER VERLAG AG
Series: Progress in Mathematics v. 159
Pages: 208
Description: The Heisenberg group has been implicitly present in much of mathematics and physics for a long time. This work is developed within the framework of harmonic analysis (Fourier transforms, convolution algebra, and related ideas) and gives a survey of the field.
Synopsis: The Heisenberg group has been implicitly present in much of mathematics and physics for a long time. Thangavelu's work is developed within the framework of harmonic analysis (Fourier transforms, convolution algebra, and related ideas) and gives a survey of the field. Additionally the author discusses in detail the representation theory of the group and its relationship to the theory of classical special functions. Among the topics covered are the Plancherel and Paley-Wiener theorems, spectral theory of the sublaplacian, Wiener-Tauberian theorems, Bocher-Riesz means and multipliers for the Fourier transform. The exposition is systematic, and leads to several problems and conjectures for further consideration. Any reader who is interested in pursuing research on the Heisenberg group should find this text of use.
Illustrations: index
Publication: Switzerland
Imprint: Birkhauser Verlag AG
Returns: Non-returnable
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