Principles of Harmonic Analysis (Universitext)

Deitmar, Anton; Echterhoff, Siegfried

ISBN 10: 3319379046 ISBN 13: 9783319379043
Published by Springer, 2016
New Soft cover

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pp. 345 Softcover reprint of the original 2nd ed. 2014 edition NO-PA16APR2015-KAP. Seller Inventory # 26378326567

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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
Publication Date: 2016
Binding: Soft cover
Condition: New

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