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Principles of Harmonic Analysis

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Principles of Harmonic Analysis

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Format:

Hardback
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Description

This book offers a complete and streamlined treatment of the central principles of abelian harmonic analysis: Pontryagin duality, the Plancherel theorem and the Poisson summation formula, as well as their respective generalizations to non-abelian groups, including the Selberg trace formula. The principles are then applied to spectral analysis of Heisenberg manifolds and Riemann surfaces. This new edition contains a new chapter on p-adic and adelic groups, as well as a complementary section on direct and projective limits. Many of the supporting proofs have been revised and refined. The book is an excellent resource for graduate students who wish to learn and understand harmonic analysis and for researchers seeking to apply it.

Author Biography:

Anton Deitmar is a professor of Mathematics at the University of Tübingen, Germany. Siegfried Echterhoff is a professor of Mathematics at the University of Münster, Germany.
Release date NZ
July 7th, 2014
Audience
  • Professional & Vocational
Edition
2nd ed. 2014
Illustrations
11 Illustrations, black and white; XIII, 332 p. 11 illus.
Pages
332
Dimensions
155x235x21
ISBN-13
9783319057910
Product ID
22175237

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