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Spectral Theory of Automorphic Functions

and Its Applications

  • Book
  • © 1990

Overview

Authors:
  1. Alexei B. Venkov

    1. Steklov Mathematical Institute, Leningrad, USSR

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Part of the book series: Mathematics and its Applications (MASS, volume 51)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Introduction

    • Alexei B. Venkov
    Pages 1-4

  3. What Does One Need Automorphic Functions For? Some Remarks for a Pragmatic Reader

    • Alexei B. Venkov
    Pages 5-8

  4. Harmonic Analysis of Periodic Functions. The Hardy—Voronoǐ Formula

    • Alexei B. Venkov
    Pages 9-12

  5. Expansion in Eigenfunctions of the Automorphic Laplacian on the Lobachevsky Plane

    • Alexei B. Venkov
    Pages 13-27

  6. Harmonic Analysis of Automorphic Functions. Estimates for Fourier Coefficients of Parabolic Forms of Weight Zero

    • Alexei B. Venkov
    Pages 28-37

  7. The Selberg Trace Formula for Fuchsian Groups of the First Kind

    • Alexei B. Venkov
    Pages 38-46

  8. The Theory of the Selberg Zeta-Function

    • Alexei B. Venkov
    Pages 47-54

  9. Problems in the Theory of the Discrete Spectrum of Automorphic Laplacians

    • Alexei B. Venkov
    Pages 55-70

  10. The Spectral Moduli Problem

    • Alexei B. Venkov
    Pages 71-75

  11. Automorphic Functions and the Kummer Problem

    • Alexei B. Venkov
    Pages 76-88

  12. The Selberg Trace Formula on the Reductive Lie Groups

    • Alexei B. Venkov
    Pages 89-98

  13. Automorphic Functions, Representations and L-Functions

    • Alexei B. Venkov
    Pages 99-107

  14. Remarks and Comments. Annotations to the Cited Literature

    • Alexei B. Venkov
    Pages 108-118

  15. Back Matter

    Pages 119-176
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Authors and Affiliations

  • Steklov Mathematical Institute, Leningrad, USSR

    Alexei B. Venkov

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