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  • Book
  • © 1972

Harmonic Analysis on Semi-Simple Lie Groups I

Authors:

  1. Garth Warner

    1. Department of Mathematics, University of Washington, Seattle, USA

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Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 188)

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-XVI
    PDF

  6. Induced Representations

    • Garth Warner
    Pages 360-473

  7. Back Matter

    Pages 474-532
    PDF
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About this book

The representation theory of locally compact groups has been vig­ orously developed in the past twenty-five years or so; of the various branches of this theory, one of the most attractive (and formidable) is the representation theory of semi-simple Lie groups which, to a great extent, is the creation of a single man: Harish-Chandra. The chief objective of the present volume and its immediate successor is to provide a reasonably self-contained introduction to Harish-Chandra's theory. Granting cer­ tain basic prerequisites (cf. infra), we have made an effort to give full details and complete proofs of the theorems on which the theory rests. The structure of this volume and its successor is as follows. Each book is divided into chapters; each chapter is divided into sections; each section into numbers. We then use the decimal system of reference; for example, 1. 3. 2 refers to the second number in the third section of the first chapter. Theorems, Propositions, Lemmas, and Corollaries are listed consecutively throughout any given number. Numbers which are set in fine print may be omitted at a first reading. There are a variety of Exam­ ples scattered throughout the text; the reader, if he is so inclined, can view them as exercises ad libitum. The Appendices to the text collect certain ancillary results which will be used on and off in the systematic exposi­ tion; a reference of the form A2.
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Keywords

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Authors and Affiliations

  • Department of Mathematics, University of Washington, Seattle, USA

    Garth Warner

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Bibliographic Information

  • Book Title: Harmonic Analysis on Semi-Simple Lie Groups I

  • Authors: Garth Warner

  • Series Title: Grundlehren der mathematischen Wissenschaften

  • DOI: https://doi.org/10.1007/978-3-642-50275-0

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1972

  • Softcover ISBN: 978-3-642-50277-4Published: 14 December 2012

  • eBook ISBN: 978-3-642-50275-0Published: 06 December 2012

  • Series ISSN: 0072-7830

  • Series E-ISSN: 2196-9701

  • Edition Number: 1

  • Number of Pages: XVI, 532

  • Number of Illustrations: 2 b/w illustrations

  • Topics: Algebra

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Buy it now

eBook USD 109.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 139.99
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

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