Cover of Antoine Derighetti: Convolution Operators on Groups

Antoine Derighetti Convolution Operators on Groups

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Springer Berlin Heidelberg

2011

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978-3-642-20656-6

3-642-20656-5

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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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