Convolution Operators on Groups

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This volume is devoted to a systematic study of the Banach algebra of the convolution operators of a locally compact group. Inspired by classical Fourier analysis we consider operators on Lp spaces, arriving at a description of these operators and Lp versions of the theorems of Wiener and Kaplansky-Helson.

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Title Statements

Full title :Convolution Operators on Groups / by Antoine Derighetti.

Summary

Edition Statements

Publication Date:2011.

Publication Statements

Publisher(s):Springer Berlin Heidelberg
Place of Publication:Berlin, Heidelberg
Language:eng
Publication Date:2011.

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The Physical Object

Description:1 ressource en ligne

Edition Identifiers

ISBN:9783642206566, 3642206565
oclc:on1083976405
LC Classification:QA601
Dewey Decimal:515/.43

1 Elementary Results -- 2 An Approximation Theorem for <i>CV2(G) -- </i>3 The Figa-Talamanca Herz Algebra -- 4 The Dual of Ap(G) -- 5 CVp(G) as a Module on Ap(G) -- 6 The Support of a Convolution Operator -- 7 Convolution Operators Supported by Subgroups -- 8 CVp(G) as a Subspace of CV2(G).