Principles of harmonic analysis
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Author
Contributions
- Echterhoff, Siegfried, 1960- - Contributor
Publication
2009 - Springer, New York, New York (State)
Language
English
Word Count
83,250 words, Guess
Page Count
333 pages
Identifiers
- Internet Archiveprinciplesharmon00deit
- Internet Archiveprinciplesharmon00deit_609
- ISBN-100387854681
- ISBN-10038785469X
- ISBN-139780387854687
and 6 more
- ISBN-139780387854694
- Library of Congress Control Number2008938333
- OCLC Control Number277275470
- Better World Books9780387854694
- Better World Books9780387854687
- Open LibraryOL23971128M
Classifications
- DDC515.2433
- LCCQA403 .D45 2009
- LCCQA403-403.3
Description
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.
Subjects
Topics
Other Editions
- Principles of harmonic analysis
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