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Classical Harmonic Analysis and Locally Compact Groups. 2nd Revised edition.
・ISBN 978-0-19-851189-2 hard GB£ 277.50
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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-1-383-02249-0
| 著者・編者 | Reiter, Hans / Stegeman, Jan D., |
|---|---|
| シリーズ | London Mathematical Society Monographs |
| 出版社 | (Oxford University Press, UK) |
| 出版年月 | 2000 |
| ページ数 | 344 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-16405> |
解説
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.