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Abstract Harmonic Analysis

Volume II: Structure and Analysis for Compact Groups Analysis on Locally Compact Abelian Groups

  • Edwin Hewitt
  • Kenneth A. Ross

Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 152)

Table of contents

  1. Front Matter
    Pages I-IX
  2. Edwin Hewitt, Kenneth A. Ross
    Pages 1-208
  3. Edwin Hewitt, Kenneth A. Ross
    Pages 209-327
  4. Edwin Hewitt, Kenneth A. Ross
    Pages 328-483
  5. Edwin Hewitt, Kenneth A. Ross
    Pages 484-605
  6. Edwin Hewitt, Kenneth A. Ross
    Pages 606-679
  7. Back Matter
    Pages 680-774

About this book

Introduction

This book is a continuation of Volume I of the same title [Grund­ lehren der mathematischen Wissenschaften, Band 115 ]. We constantly 1 1. The textbook Real and cite definitions and results from Volume abstract analysis by E. HEWITT and K. R. STROMBERG [Berlin · Gottin­ gen ·Heidelberg: Springer-Verlag 1965], which appeared between the publication of the two volumes of this work, contains many standard facts from analysis. We use this book as a convenient reference for such facts, and denote it in the text by RAAA. Most readers will have only occasional need actually to read in RAAA. Our goal in this volume is to present the most important parts of harmonic analysis on compact groups and on locally compact Abelian groups. We deal with general locally compact groups only where they are the natural setting for what we are considering, or where one or another group provides a useful counterexample. Readers who are interested only in compact groups may read as follows: § 27, Appendix D, §§ 28-30 [omitting subheads (30.6)-(30.60)ifdesired], (31.22)-(31.25), §§ 32, 34-38, 44. Readers who are interested only in locally compact Abelian groups may read as follows: §§ 31-33, 39-42, selected Mis­ cellaneous Theorems and Examples in §§34-38. For all readers, § 43 is interesting but optional. Obviously we have not been able to cover all of harmonic analysis.

Keywords

Fourier transform abstract harmonic analysis harmonic analysis

Authors and affiliations

  • Edwin Hewitt
    • 1
  • Kenneth A. Ross
    • 2
  1. 1.Department of Mathematics GN-50University of WashingtonSeattleUSA
  2. 2.Department of MathematicsUniversity of OregonEugeneUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-26755-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 1970
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-662-24595-8
  • Online ISBN 978-3-662-26755-4
  • Series Print ISSN 0072-7830
  • Buy this book on publisher's site
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