Spectral Theory of Infinite-Area Hyperbolic Surfaces

• Κύριος συγγραφέας: Borthwick, David (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston, MA : Birkhäuser Boston, 2007.
• Σειρά: Progress in Mathematics ; 256
• Θέματα: Mathematics.; Functional analysis.; Functions of complex variables.; Partial differential equations.; Differential geometry.; Physics.; Functional Analysis.; Partial Differential Equations.; Functions of a Complex Variable.; Differential Geometry.; Mathematical Methods in Physics.

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...

Πίνακας περιεχομένων:

• 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.