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  • Book
  • © 1981

Fourier Coefficients of Automorphic Forms

Authors:

  1. Roelof W. Bruggeman
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 865)

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Table of contents (16 chapters)

  1. Front Matter

    Pages I-III
    PDF

  2. Introduction

    • Roelof W. Bruggeman
    Pages 1-18

  3. The universal covering group G

    • Roelof W. Bruggeman
    Pages 19-23

  4. Representations

    • Roelof W. Bruggeman
    Pages 24-32

  5. Automorphic models

    • Roelof W. Bruggeman
    Pages 33-40

  6. Standard and Whittaker models

    • Roelof W. Bruggeman
    Pages 41-48

  7. Intertwining operators

    • Roelof W. Bruggeman
    Pages 49-60

  8. Fourier coefficients of automorphic models

    • Roelof W. Bruggeman
    Pages 61-71

  9. The operators θα

    • Roelof W. Bruggeman
    Pages 72-83

  10. Eisenstein models

    • Roelof W. Bruggeman
    Pages 84-92

  11. L2(Γ/G, X)

    • Roelof W. Bruggeman
    Pages 93-102

  12. The analytic continuation of the Eisenstein model

    • Roelof W. Bruggeman
    Pages 103-124

  13. Spectral decomposition of eL2(Γ/G,X)

    • Roelof W. Bruggeman
    Pages 125-132

  14. The space H σ τ

    • Roelof W. Bruggeman
    Pages 133-147

  15. Convolution operators

    • Roelof W. Bruggeman
    Pages 148-165

  16. Scalar product of Poincaré series

    • Roelof W. Bruggeman
    Pages 166-176

  17. Sum formula

    • Roelof W. Bruggeman
    Pages 177-195

  18. Back Matter

    Pages 196-201
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Keywords

  • Automorphe Form
  • Coefficients
  • Fourier
  • Fourierkoeffizient
  • Scala
  • automorphic forms
  • convolution
  • form
  • group
  • model
  • presentation
  • spectral theorem
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Bibliographic Information

  • Book Title: Fourier Coefficients of Automorphic Forms

  • Authors: Roelof W. Bruggeman

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0089856

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1981

  • Softcover ISBN: 978-3-540-10839-9Published: 01 June 1981

  • eBook ISBN: 978-3-540-38726-8Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VI, 206

  • Topics: Topological Groups, Lie Groups

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Access via your institution

Buy it now

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
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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