Principles of Harmonic Analysis
Softcover reprint of the original 2nd ed. 2014
Book Details
Format
Paperback / Softback
Book Series
Universitext
ISBN-10
3319379046
ISBN-13
9783319379043
Edition
Softcover reprint of the original 2nd ed. 2014
Publisher
Springer International Publishing AG
Imprint
Springer International Publishing AG
Country of Manufacture
CH
Country of Publication
GB
Publication Date
Sep 17th, 2016
Print length
332 Pages
Weight
556 grams
Dimensions
23.50 x 15.40 x 3.40 cms
Ksh 11,150.00
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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.
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.
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