Convolution Operators on Groups
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Beschreibung
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.
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.
Includes supplementary material: sn.pub/extras
Autor*in
Antoine Derighetti
Themen in »Convolution Operators on Groups«
22DXX 43A10 43A20 43A22 43A40 43A45 43A15 Amenable groups Convolution operator
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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 Lohoué and the author of the book. Many references on related topics are given in the notes.” (Françoise Lust-Piquard, Mathematical Reviews, Issue 2012 e)()