Principles of Harmonic Analysis (Paperback, Softcover reprint of the original 2nd ed. 2014)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Universitext
Release date:	September 2016
First published:	2014
Authors:	Anton Deitmar • Siegfried Echterhoff
Dimensions:	235 x 155 x 34mm (L x W x T)
Format:	Paperback
Pages:	332
Edition:	Softcover reprint of the original 2nd ed. 2014
ISBN-13:	978-3-319-37904-3
Categories:	Books > Science & Mathematics > Mathematics > Combinatorics & graph theory Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Books > Science & Mathematics > Mathematics > Applied mathematics > General
LSN:	3-319-37904-6
Barcode:	9783319379043

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