Principles of Harmonic Analysis
Language: English
Published by Springer New York, 2008
Series: Book 54 of 261 - Universitext
- Softcover
- New
Condition: New
£ 58.00
Quantity: Over 20 available
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Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Contains material unavailable elsewhere, including the full proof of Pontryagin Duality and the Plancherel TheoremAuthors emphasize Banach algebras as the cleanest way to get many fundamental results in harmonic analysisGentle pace, clear e.
Seller Inventory # 230212150
- Title
- Principles of Harmonic Analysis
- Author
- Anton Deitmar|Siegfried Echterhoff
- Publisher
- Springer New York
- Publication year
- 2008
- Condition
- New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 0387854681
- ISBN 13
- 9780387854687
- Series
- Book 54 of 261: Universitext
"Synopsis" may belong to another edition of this title.
From the Back Cover
The present book is intended as a text for a graduate course on abstract harmonic analysis and its applications. The book can be used as a follow up to Anton Deitmer's previous book, A First Course in Harmonic Analysis, or independently, if the students already have a modest knowledge of Fourier Analysis. In this book, among other things, proofs are given of Pontryagin Duality and the Plancherel Theorem for LCA-groups, which were mentioned but not proved in A First Course in Harmonic Analysis. Using Pontryagin duality, the authors also obtain various structure theorems for locally compact abelian groups. The book then proceeds with Harmonic Analysis on non-abelian groups and its applications to theory in number theory and the theory of wavelets.
Knowledge of set theoretic topology, Lebesgue integration, and functional analysis on an introductory level will be required in the body of the book. For the convenience of the reader, all necessary ingredients from these areas have been included in the appendices.
Professor Deitmar is Professor of Mathematics at the University of Tübingen, Germany. He is a former Heisenberg fellow and has taught in the U.K. for some years. Professor Echterhoff is Professor of Mathematics and Computer Science at the University of Münster, Germany.
"About the title" may belong to another edition of this title.
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