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OverviewThe 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 DetailsAuthor: Sundaram ThangaveluPublisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Volume: v. 159 ISBN: 9783764340506ISBN 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  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 ContentsThe group Fourier transform; analysis of the sublaplacian; group algebras and applications; the reduced Heisenberg group.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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