Spectral Theory of Infinite-Area Hyperbolic Surfaces

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This book introduces geometric spectral theory in the context of infinite-area Riemann surfaces, providing a comprehensive account of dramatic recent developments in the field. These developments were prompted by advances in geometric scattering theory in the early 1990s which provided new tools for...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Borthwick, David (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2007.
Edición:1st ed. 2007.
Colección:Progress in Mathematics, 256
Temas:
Functional analysis.
Differential equations.
Functions of complex variables.
Geometry, Differential.
Mathematical physics.
Functional Analysis.
Differential Equations.
Functions of a Complex Variable.
Differential Geometry.
Mathematical Methods in Physics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Hyperbolic Surfaces
  • Compact and Finite-Area Surfaces
  • Spectral Theory for the Hyperbolic Plane
  • Model Resolvents for Cylinders
  • TheResolvent
  • Spectral and Scattering Theory
  • Resonances and Scattering Poles
  • Upper Bound for Resonances
  • Selberg Zeta Function
  • Wave Trace and Poisson Formula
  • Resonance Asymptotics
  • Inverse Spectral Geometry
  • Patterson-Sullivan Theory
  • Dynamical Approach to the Zeta Function.

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