Skip to main content
SpringerLink
Log in

Convolution Operators on Groups

  • Book
  • © 2011

Overview

Authors:
  1. Antoine Derighetti

    1. EPFL SB-DO, MA A1 354 (Bâtiment MA) Station 8, Ecole polytechnique fédérale de Lausanne, Lausanne, Switzerland

    View author publications

    You can also search for this author in PubMed   Google Scholar

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (8 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Elementary Results

    • Antoine Derighetti
    Pages 1-23

  3. The Commutation’s Theorem

    • Antoine Derighetti
    Pages 25-32

  4. The Figa–Talamanca Herz Algebra

    • Antoine Derighetti
    Pages 33-44

  5. The Dual of Ap(G)

    • Antoine Derighetti
    Pages 45-64

  6. CV p (G) as a Module on A p (G)

    • Antoine Derighetti
    Pages 65-84

  7. The Support of a Convolution Operator

    • Antoine Derighetti
    Pages 85-99

  8. Convolution Operators Supported by Subgroups

    • Antoine Derighetti
    Pages 101-144

  9. CV p (G) as a Subspace of CV2(G)

    • Antoine Derighetti
    Pages 145-160

  10. Back Matter

    Pages 161-171
    Download chapter PDF
Back to top

Keywords

About this book

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.

Reviews

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)

Authors and Affiliations

  • EPFL SB-DO, MA A1 354 (Bâtiment MA) Station 8, Ecole polytechnique fédérale de Lausanne, Lausanne, Switzerland

    Antoine Derighetti

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation