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Convolution Operators on Groups de Antoine Derighetti

Convolution Operators on Groups: Lecture Notes of the Unione Matematica Italiana, cartea 11

Autor Antoine Derighetti
en Limba Engleză Paperback – 29 iun 2011
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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Specificații

ISBN-13: 9783642206559
ISBN-10: 3642206557
Pagini: 188
Ilustrații: XII, 171 p.
Dimensiuni: 155 x 235 x 10 mm
Greutate: 0.23 kg
Ediția:2011
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes of the Unione Matematica Italiana

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

1 Elementary Results.- 2 An Approximation Theorem for CV2(G).- 3 The Figa-Talamanca Herz Algebra.- 4 The Dual of Ap(G).- 5 CVp(G) as a Module on Ap(G).- 6 The Support of a Convolution Operator.- 7 Convolution Operators Supported by Subgroups.- 8 CVp(G) as a Subspace of CV2(G).

Recenzii

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)

Textul de pe ultima copertă

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.

Caracteristici

Includes supplementary material: sn.pub/extras