Group methods in commutative harmonic analysis
著者
書誌事項
Group methods in commutative harmonic analysis
（Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze, v. 25 . Commutative harmonic analysis ; 2）
Springer-Verlag, c1998
- : gw
- : [softcover]
- タイトル別名
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Commutative harmonic analysis II
Kommutativnyĭ garmonicheskiĭ analiz II
Commutative harmonic analysis 2
Commutative harmonic analysis two
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注記
"Title of the Russian edition: Itogi nauki i tekhniki, Sovremennye problemy matematiki, Fundamental'nye napravleniya, Vol. 25. Kommutativnyi garmonicheskij analiz 2, Publisher VINITI, Moscow 1988"--T.p. verso
Includes bibliographies (p. 299-313) and indexes
内容説明・目次
- 巻冊次
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: gw ISBN 9783540519980
内容説明
Classical harmonic analysis is an important part of modern physics and mathematics, comparable in its significance with calculus. Created in the 18th and 19th centuries as a distinct mathematical discipline it continued to develop, conquering new unexpected areas and producing impressive applications to a multitude of problems. it is widely understood that the explanation of this miraculous power stems from group theoretic ideas underlying practically everything in harmonic analysis. this book is an unusual combination of the general and abstract group theoretic approach with a wealth of very concrete topics that may be attractive to those interested in mathematics.
目次
- From the contents: Group Methods in Commutative Harmonic Analysis by V.P. Gurarii: Chapter 1. Convolution and Translation in Classical Analysis
- Chapter 2. Invariant Integration and Harmonic Analysis on Locally Compact Abelian Groups
- References
- Indices.
- 巻冊次
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: [softcover] ISBN 9783642638008
内容説明
Classical harmonic analysis is an important part of modern physics and mathematics, comparable in its significance with calculus. Created in the 18th and 19th centuries as a distinct mathematical discipline it continued to develop, conquering new unexpected areas and producing impressive applications to a multitude of problems. It is widely understood that the explanation of this miraculous power stems from group theoretic ideas underlying practically everything in harmonic analysis. This book is an unusual combination of the general and abstract group theoretic approach with a wealth of very concrete topics attractive to everybody interested in mathematics. Mathematical literature on harmonic analysis abounds in books of more or less abstract or concrete kind, but the lucky combination as in this volume can hardly be found.
目次
1. Convolution and Translation in Classical Analysis.- 2. Invariant Integration and Harmonic Analysis on Locally Compact Abelian Groups.- References.- Author Index.
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