Harmonic Analysis on the Heisenberg Group

Sundaram Thangavelu

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English

Birkhauser Boston Inc
24 March 1998

Functional analysis & transforms; Analytic topology

Series: Progress in Mathematics

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.

Edited by: Sundaram Thangavelu
Imprint: Birkhauser Boston Inc
Country of Publication: United States
Edition: 1998 ed.
Volume: 159
Dimensions: Height: 235mm, Width: 155mm, Spine: 12mm
Weight: 1.050kg
ISBN: 9780817640507
ISBN 10: 0817640509
Series: Progress in Mathematics
Pages: 195
Publication Date: 24 March 1998
Audience: College/higher education , Professional and scholarly , Further / Higher Education , Undergraduate
Format: Hardback
Publisher's Status: Active

Reviews for Harmonic Analysis on the Heisenberg Group

The author is to be commended for assembling this diverse body of interesting results into a coherent and readable monographa ]Thangavelua (TM)s work....gives a useful survey of the field, bringing together a number of recent results which have not appeared elsewhere in book form and which will appeal to a broad mathematical audience... <p>a Mathematical Reviews