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 i...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Bergeron, Nicolas (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Colección:Universitext,
Temas:
Geometry, Hyperbolic.
Harmonic analysis.
Dynamical systems.
Hyperbolic Geometry.
Abstract Harmonic Analysis.
Dynamical Systems.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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