Convolution Operators on Groups

Convolution Operators on Groups

by Derighetti, Antoine

Type Book
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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

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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Edition Statements

  • Publication Date:2011

Publication Statements

The Physical Object

  • Description:1 recurs en línia (1 recurs en línia (XII, 171 pàgines)).

Edition Identifiers

  • ISBN:9783642206566, 3642206565
  • oclc:on1120544853

Table of Contents

Conté: 1 Elementary Results -- 2 An Approximation Theorem for CV2(G) -- 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)

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Subjects

Anàlisi harmònica Harmonic analysis Llibres electrònics

Writers

Derighetti, Antoine

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