Convolution operators on groups
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.
Read More ↓Title Statements
- Full title :Convolution operators on groups / 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.
Read More ↓Edition Statements
- Publication Date:©2011.
Publication Statements
- Publisher(s):Springer
- Place of Publication:Berlin
- Language:eng
- Publication Date:©2011.
The Physical Object
- Description:1 online resource (xii, 171 pages)
Edition Identifiers
- ISBN:9783642206566, 3642206565
- oclc:ocn745003572
- LC Classification:QA601
- Dewey Decimal:515/.43
Table of Contents
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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