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Linear Analysis and Representation Theory

  • Book
  • © 1973

Overview

Authors:
  1. Steven A. Gaal

    1. School of Mathematics, University of Minnesota, Minneapolis, USA

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Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 198)

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Table of contents (8 chapters)

  1. Front Matter

    Pages I-IX
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  2. Algebras and Banach Algebras

    • Steven A. Gaal
    Pages 1-54

  3. Operators and Operator Algebras

    • Steven A. Gaal
    Pages 55-101

  4. The Spectral Theorem, Stable Subspaces and v. Neumann Algebras

    • Steven A. Gaal
    Pages 102-144

  5. Elementary Representation Theory in Hilbert Space

    • Steven A. Gaal
    Pages 145-227

  6. Topological Groups, Invariant Measures, Convolutions and Representations

    • Steven A. Gaal
    Pages 228-320

  7. Induced Representations

    • Steven A. Gaal
    Pages 321-422

  8. Square Integrable Representations, Spherical Functions and Trace Formulas

    • Steven A. Gaal
    Pages 423-530

  9. Lie Algebras, Manifolds and Lie Groups

    • Steven A. Gaal
    Pages 531-662

  10. Back Matter

    Pages 663-690
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Keywords

About this book

In an age when more and more items. are made to be quickly disposable or soon become obsolete due to either progress or other man caused reasons it seems almost anachronistic to write a book in the classical sense. A mathematics book becomes an indespensible companion, if it is worthy of such a relation, not by being rapidly read from cover to cover but by frequent browsing, consultation and other occasional use. While trying to create such a work I tried not to be encyclopedic but rather select only those parts of each chosen topic which I could present clearly and accurately in a formulation which is likely to last. The material I chose is all mathematics which is interesting and important both for the mathematician and to a large extent also for the mathematical physicist. I regret that at present I could not give a similar account on direct integrals and the representation theory of certain classes of Lie groups. I carefully kept the level of presentation throughout the whole book as uniform as possible. Certain introductory sections are kept shorter and are perhaps slightly more detailed in order to help the newcomer prog­ ress with it at the same rate as the more experienced person is going to proceed with his study of the details.

Authors and Affiliations

  • School of Mathematics, University of Minnesota, Minneapolis, USA

    Steven A. Gaal

Bibliographic Information

  • Book Title: Linear Analysis and Representation Theory

  • Authors: Steven A. Gaal

  • Series Title: Grundlehren der mathematischen Wissenschaften

  • DOI: https://doi.org/10.1007/978-3-642-80741-1

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1973

  • Softcover ISBN: 978-3-642-80743-5Published: 15 December 2011

  • eBook ISBN: 978-3-642-80741-1Published: 06 December 2012

  • Series ISSN: 0072-7830

  • Series E-ISSN: 2196-9701

  • Edition Number: 1

  • Number of Pages: X, 690

  • Topics: Algebra

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