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Abstract Harmonic Analysis

Structure and Analysis for Compact Groups Analysis on Locally Compact Abelian Groups

  • Book
  • © 1970

Overview

Authors:
  1. Edwin Hewitt

    1. Department of Mathematic GN-50, University of Washington, Seattle, USA

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  2. Kenneth A. Ross

    1. Department of Mathematics, University of Oregon, Eugene, USA

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    You can also search for this author in PubMed   Google Scholar

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

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Table of contents (5 chapters)

  1. Front Matter

    Pages III-IX
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  2. Representations and duality of compact groups

    • Edwin Hewitt, Kenneth A. Ross
    Pages 1-208

  3. Fourier transforms

    • Edwin Hewitt, Kenneth A. Ross
    Pages 209-327

  4. Analysis on compact groups

    • Edwin Hewitt, Kenneth A. Ross
    Pages 328-483

  5. Spectral synthesis

    • Edwin Hewitt, Kenneth A. Ross
    Pages 484-605

  6. Miscellany

    • Edwin Hewitt, Kenneth A. Ross
    Pages 606-679

  7. Back Matter

    Pages 681-771
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Keywords

About this book

This book is a continuation of vol. I (Grundlehren vol. 115, also available in softcover), and contains a detailed treatment of some important parts of harmonic analysis on compact and locally compact abelian groups. From the reviews: "This work aims at giving a monographic presentation of abstract harmonic analysis, far more complete and comprehensive than any book already existing on the subject...in connection with every problem treated the book offers a many-sided outlook and leads up to most modern developments. Carefull attention is also given to the history of the subject, and there is an extensive bibliography...the reviewer believes that for many years to come this will remain the classical presentation of abstract harmonic analysis." Publicationes Mathematicae

Authors and Affiliations

  • Department of Mathematic GN-50, University of Washington, Seattle, USA

    Edwin Hewitt

  • Department of Mathematics, University of Oregon, Eugene, USA

    Kenneth A. Ross

Bibliographic Information

  • Book Title: Abstract Harmonic Analysis

  • Book Subtitle: Structure and Analysis for Compact Groups Analysis on Locally Compact Abelian Groups

  • Authors: Edwin Hewitt, Kenneth A. Ross

  • Series Title: Grundlehren der mathematischen Wissenschaften

  • DOI: https://doi.org/10.1007/978-3-642-62008-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1970

  • Softcover ISBN: 978-3-540-58318-9Published: 05 August 1994

  • eBook ISBN: 978-3-642-62008-9Published: 21 December 2013

  • Series ISSN: 0072-7830

  • Series E-ISSN: 2196-9701

  • Edition Number: 1

  • Number of Pages: X, 771

  • Topics: Abstract Harmonic Analysis

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