Groups Acting on Hyperbolic Space

Harmonic Analysis and Number Theory

  • Jürgen Elstrodt
  • Fritz Grunewald
  • Jens Mennicke
Book

Part of the Springer Monographs in Mathematics book series (SMM)

Table of contents

  1. Front Matter
    Pages I-XV
    PDF
  2. Three-Dimensional Hyperbolic Space
    Jürgen Elstrodt, Fritz Grunewald, Jens Mennicke
    Pages 1-32
  3. Groups Acting Discontinuously on Three-Dimensional Hyperbolic Space
    Jürgen Elstrodt, Fritz Grunewald, Jens Mennicke
    Pages 33-81
  4. Automorphic Functions
    Jürgen Elstrodt, Fritz Grunewald, Jens Mennicke
    Pages 83-129
  5. Spectral Theory of the Laplace Operator
    Jürgen Elstrodt, Fritz Grunewald, Jens Mennicke
    Pages 131-183
  6. Spectral Theory of the Laplace Operator for Cocompact Groups
    Jürgen Elstrodt, Fritz Grunewald, Jens Mennicke
    Pages 185-229
  7. Spectral Theory of the Laplace Operator for Cofinite Groups
    Jürgen Elstrodt, Fritz Grunewald, Jens Mennicke
    Pages 231-310
  8. PSL(2) over Rings of Imaginary Quadratic Integers
    Jürgen Elstrodt, Fritz Grunewald, Jens Mennicke
    Pages 311-357
  9. Eisenstein Series for PSL(2) over Imaginary Quadratic Integers
    Jürgen Elstrodt, Fritz Grunewald, Jens Mennicke
    Pages 359-405
  10. Integral Binary Hermitian Forms
    Jürgen Elstrodt, Fritz Grunewald, Jens Mennicke
    Pages 407-441
  11. Examples of Discontinuous Groups
    Jürgen Elstrodt, Fritz Grunewald, Jens Mennicke
    Pages 443-495
  12. Back Matter
    Pages 497-524
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About this book

Introduction

see information text

Keywords

calculus discontinuous group eisenstein series harmonic analysis hermitian form hyperbolic space number theory trace formula

Authors and affiliations

  • Jürgen Elstrodt
    • 1
  • Fritz Grunewald
    • 2
  • Jens Mennicke
    • 3
  1. 1.Mathematisches InstitutUniversität MünsterMünsterGermany
  2. 2.Mathematisches InstitutUniversität DüsseldorfDüsseldorfGermany
  3. 3.Fakultät für MathematikUniversität BielefeldBielefeldGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-03626-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 1998
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08302-0
  • Online ISBN 978-3-662-03626-6
  • Series Print ISSN 1439-7382
  • Buy this book on publisher's site