Classical harmonic analysis and locally compact groups
Author(s)
Bibliographic Information
Classical harmonic analysis and locally compact groups
（London Mathematical Society monographs, new series,
Clarendon , Oxford University Press, 2007
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Note
"Reprinted 2007"--T.p. verso
Includes bibliographical references and subject index
Description and Table of Contents
Description
A revised and expanded second edition of Reiter's classic text Classical Harmonic Analysis and Locally Compact Groups (Clarendon Press 1968). It deals with various developments in analysis centring around the fundamental work of Wiener, Carleman, and especially A. Weil. It starts with the classical theory of Fourier transforms in euclidean space, continues with a study of certain general function algebras, and then discusses functions defined on locally
compact groups. The aim is, firstly, to bring out clearly the relations between classical analysis and group theory , and secondly, to study basic properties of functions on abelian and non-abelian groups. The book gives a systematic introduction to these topics and endeavours to provide tools for further
research. In the new edition relevant material is added that was not yet available at the time of the first edition.
Table of Contents
- 1. Classical harmonic analysis and Wiener's theorem
- 2. Function algebras and the generalization of Wiener's theorem
- 3. Locally compact groups and the Haar measure
- 4. Locally compact abelian groups and the foundations of harmonic analysis
- 5. Functions on locally compact abelian groups
- 6. Wiener's theorem and locally compact abelian groups
- 7. The spectrum and its applications
- 8. Functions on general locally compact groups
- A. Additional material
- B. Notes and additional references
- . References
- . Summary of Notations
- . Subject Index
by "Nielsen BookData"
