Authors:
- Contains material unavailable elsewhere, including the full proof of Pontryagin Duality and the Plancherel Theorem
- Authors emphasize Banach algebras as the cleanest way to get many fundamental results in harmonic analysis
- Gentle pace, clear exposition, and clean proofs
- Includes supplementary material: sn.pub/extras
Part of the book series: Universitext (UTX)
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Table of contents (12 chapters)
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Front Matter
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Back Matter
About this book
Reviews
From the reviews:
"Principles of Harmonic Analysis is an excellent and thorough introduction to both commutative and non-commutative harmonic analysis. It is suitable for any graduates student with the appropriate background … . In summary, this is a superb book. … it is extremely readable and well organized. Graduate students, and other newcomers to the field, will greatly appreciate the author’s clear and careful writing." (Kenneth A. Ross, MAA Online, February, 2009)
“The book under review is a nice presentation of all the standard, basic material on abstract harmonic analysis. … The most welcome aspect of the book under review is the inclusion of a discussion of the trace formula, a rather unusual feature in an introductory book on harmonic analysis. … This is a nice addition to the literature on the subject.” (Krishnan Parthasarathy, Mathematical Reviews, Issue 2010 g)
Authors and Affiliations
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Inst. Mathematik, Universität Tübingen, Tübingen, Germany
Anton Deitmar
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Mathematisches Institut, Universität Münster, Münster, Germany
Siegfried Echterhoff
Bibliographic Information
Book Title: Principles of Harmonic Analysis
Authors: Anton Deitmar, Siegfried Echterhoff
Series Title: Universitext
DOI: https://doi.org/10.1007/978-0-387-85469-4
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2009
Softcover ISBN: 978-0-387-85468-7Published: 21 November 2008
eBook ISBN: 978-0-387-85469-4Published: 04 December 2008
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 1
Number of Pages: XV, 333