Spectral Theory of Infinite-Area Hyperbolic Surfaces

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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Bibliografiske detaljer
Hovedforfatter: Borthwick, David, mathématicien
Format: Livre numérique
Sprog:Anglais
Udgivet: Boston, MA : Birkhäuser Boston [20..].
Cham : Springer Nature
Udgivelse:1st ed. 2007.
Serier:Progress in Mathematics 256
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Kommentar: L'impression du document génère 354 p.
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Edition sous un autre format:• Spectral theory of infinite-area hyperbolic surfaces, David Borthwick, Boston, Birkhäuser, 2007, 1 vol. (xi-355 p.), Progress in mathematics, 978-0-8176-4524-3
Indholdsfortegnelse:
  • 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.