Harmonic Analysis on the Heisenberg Group
Author:   Sundaram Thangavelu
Publisher:   Birkhauser Verlag AG
Volume:   v. 159
ISBN:  

9783764340506


Pages:   208
Publication Date:   December 1998
Replaced By:   9780817640507
Format:   Hardback
Availability:   In Print   Availability explained
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Harmonic Analysis on the Heisenberg Group


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Overview

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.

Full Product Details

Author:   Sundaram Thangavelu
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Volume:   v. 159
ISBN:  

9783764340506


ISBN 10:   3764340509
Pages:   208
Publication Date:   December 1998
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Replaced By:   9780817640507
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

The group Fourier transform; analysis of the sublaplacian; group algebras and applications; the reduced Heisenberg group.

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