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Convolution Operators on Groups

  • Antoine Derighetti

Part of the Lecture Notes of the Unione Matematica Italiana book series (UMILN, volume 11)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Antoine Derighetti
    Pages 1-23
  3. Antoine Derighetti
    Pages 25-32
  4. Antoine Derighetti
    Pages 33-44
  5. Antoine Derighetti
    Pages 45-64
  6. Antoine Derighetti
    Pages 65-84
  7. Antoine Derighetti
    Pages 85-99
  8. Antoine Derighetti
    Pages 101-144
  9. Antoine Derighetti
    Pages 145-160
  10. Back Matter
    Pages 161-171

About this book

Introduction

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.

Keywords

22DXX; 43A10; 43A20; 43A22; 43A40; 43A45; 43A15 Amenable groups Convolution operator

Authors and affiliations

  • Antoine Derighetti
    • 1
  1. 1.EPFL SB-DO, MA A1 354 (Bâtiment MA) Station 8Ecole polytechnique fédérale de LausanneLausanneSwitzerland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-20656-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-20655-9
  • Online ISBN 978-3-642-20656-6
  • Series Print ISSN 1862-9113
  • Buy this book on publisher's site