Skip to main content
SpringerLink
Log in

Metaplectic Groups and Segal Algebras

  • Book
  • © 1989

Overview

Authors:
  1. Hans Reiter
    View author publications

    You can also search for this author in PubMed   Google Scholar

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
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

Licence this eBook for your library

Institutional subscriptions

Table of contents (10 chapters)

  1. Front Matter

    Pages I-XI
    Download chapter PDF

  2. Preliminaries from harmonic analysis and group theory

    • Hans Reiter
    Pages 1-15

  3. Segal algebras; the Segal algebra G 1 (G)

    • Hans Reiter
    Pages 16-35

  4. Weil’s unitary operators and the Segal algebra G 1 (G)

    • Hans Reiter
    Pages 36-42

  5. Weil’s group of operators and related groups

    • Hans Reiter
    Pages 43-61

  6. Vector spaces and quadratic forms ever local fields

    • Hans Reiter
    Pages 62-69

  7. Properties of certain quadratic forms

    • Hans Reiter
    Pages 70-80

  8. Weil operators for vector spaces over local fields

    • Hans Reiter
    Pages 81-90

  9. The metaplectic group (local case); Segal continuity

    • Hans Reiter
    Pages 91-97

  10. The metaplectic group and Segal continuity in the adelic case

    • Hans Reiter
    Pages 98-116

  11. Weil’s theorem 6

    • Hans Reiter
    Pages 117-118

  12. Back Matter

    Pages 132-145
    Download chapter PDF
Back to top

Keywords

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.

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, Lie Groups, Number Theory

Publish with us

Policies and ethics

Back to top

Search

Navigation