Cover Image
Read Now

The Spectrum of Hyperbolic Surfaces

This text is an introduction to the spectral theory of the Laplacian on compact or finite area hyperbolic surfaces. For some of these surfaces, called “arithmetic hyperbolic surfaces”, the eigenfunctions are of arithmetic nature, and one may use analytic tools as well as powerful methods in number t...

Full description

Bibliographic Details
Main Author: Bergeron, Nicolas
Format: eBook
Language:English
Published: Cham Springer International Publishing 2016, 2016
Edition:1st ed. 2016
Series:Universitext
Subjects:
Dynamical Systems And Ergodic Theory
Ergodic Theory
Hyperbolic Geometry
Harmonic Analysis
Abstract Harmonic Analysis
Dynamics
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Preface
  • Introduction
  • Arithmetic Hyperbolic Surfaces
  • Spectral Decomposition
  • Maass Forms
  • The Trace Formula
  • Multiplicity of lambda1 and the Selberg Conjecture
  • L-Functions and the Selberg Conjecture
  • Jacquet-Langlands Correspondence
  • Arithmetic Quantum Unique Ergodicity
  • Appendices
  • References
  • Index of notation
  • Index
  • Index of names

Similar Items