Saturday, June 13, 2015

Convolution Operators on Groups




Antoine Derighetti, "Convolution Operators on Groups"


2011 | ISBN-10: 3642206557 | 200 pages | PDF | 1 MB




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.