Spectral theory of infinite-area hyperbolic surfaces /
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Author / Creator: | Borthwick, David, author. |
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Edition: | Second edition. |
Imprint: | Switzerland : Birkhäuser, 2016. |
Description: | 1 online resource |
Language: | English |
Series: | Progress in mathematics ; volume 318 Progress in mathematics (Boston, Mass.) ; v. 318. |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11264592 |
Table of Contents:
- Introduction
- Hyperbolic Surfaces
- Selberg Theory for Finite-Area Hyperbolic Surfaces
- Spectral Theory for the Hyperbolic Plane
- Model Resolvents for Cylinders
- The Resolvent
- Spectral and Scattering Theory
- Resonances and Scattering Poles
- Growth Estimates and Resonance Bounds
- Selberg Zeta Function
- Wave Trace and Poisson Formula
- Resonance Asymptotics
- Inverse Spectral Geometry
- Patterson-Sullivan Theory
- Dynamical Approach to the Zeta Function
- Numerical Computations
- Appendix
- References
- Notation Guide
- Index.