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  • © 1989

Metaplectic Groups and Segal Algebras

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1382)

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XI
  2. Properties of certain quadratic forms

    • Hans Reiter
    Pages 70-80
  3. Weil’s theorem 6

    • Hans Reiter
    Pages 117-118
  4. Back Matter

    Pages 132-145

About this book

These notes give an account of recent work in harmonic analysis dealing with the analytical foundations of A. Weil's theory of metaplectic groups. It is shown that Weil's main theorem holds for a class of functions (a certain Segal algebra) larger than that of the Schwartz-Bruhat functions considered by Weil. The theorem is derived here from some general results about this class which seems to be a rather natural one in the context of Weil's theory. No previous knowledge of the latter is assumed, however, and the theory is developed here, step by step; Further, a complete discussion of the Segal algebra concerned is given, with references to the literature. Weil's metaplectic groups are somewhat easier to investigate when the characteristic is not 2; the case of characteristic 2 presents some special features which are fully discussed. New problems that arise are indicated.

Keywords

  • Vector space
  • algebra
  • group theory
  • harmonic analysis
  • quadratic form

Bibliographic Information

  • Book Title: Metaplectic Groups and Segal Algebras

  • Authors: Hans Reiter

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0093683

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1989

  • Softcover ISBN: 978-3-540-51417-6Published: 26 July 1989

  • eBook ISBN: 978-3-540-46210-1Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XIV, 134

  • Topics: Topological Groups and Lie Groups, Number Theory

Buying options

eBook USD 29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions