Overview

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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9783642206559

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From the reviews: This is a useful, self-contained introduction to the Banach algebra of convolution operators on a locally compact group G ... . It is the first book dedicated to this topic, gathering results mainly due to Herz and, among others, to Lohoue and the author of the book. Many references on related topics are given in the notes. (Francoise Lust-Piquard, Mathematical Reviews, Issue 2012 e)

From the reviews: This is a useful, self-contained introduction to the Banach algebra of convolution operators on a locally compact group G ... . It is the first book dedicated to this topic, gathering results mainly due to Herz and, among others, to Lohoue and the author of the book. Many references on related topics are given in the notes. (Francoise Lust-Piquard, Mathematical Reviews, Issue 2012 e)

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