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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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Convolution operators on groups, Antoine Derighetti
- Language
- Released
- 2011
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- Title
- Convolution operators on groups
- Language
- English
- Authors
- Antoine Derighetti
- Publisher
- Springer
- Released
- 2011
- ISBN10
- 3642206557
- ISBN13
- 9783642206559
- Category
- Mathematics
- Description
- 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.