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-...
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| Format: | Electronic eBook |
| Language: | English |
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Berlin, Heidelberg :
Springer Berlin Heidelberg,
2011.
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| Series: | Lecture Notes of the Unione Matematica Italiana,
11 |
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| Online Access: | Full Text via HEAL-Link |
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).
