Principles of Harmonic Analysis
Anton Deitmar|Siegfried Echterhoff
ISBN 10: 331905791X ISBN 13: 9783319057910
Published by Springer International Publishing, 2014
New
Hardcover
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moluna, Greven, Germany
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Synopsis:
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.
About the Author: 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.
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Bibliographic Details
Title: Principles of Harmonic Analysis
Publisher: Springer International Publishing
Publication Date: 2014
Binding: Hardcover
Condition: New
Edition: 2nd Edition