Spectral Theory of Infinite-Area Hyperbolic Surfaces

1. Introduction
David Borthwick

2. Hyperbolic Surfaces
David Borthwick

3. Selberg Theory for Finite-Area Hyperbolic Surfaces
David Borthwick

4. Spectral Theory for the Hyperbolic Plane
David Borthwick

5. Model Resolvents for Cylinders
David Borthwick

6. The Resolvent
David Borthwick

7. Spectral and Scattering Theory
David Borthwick

8. Resonances and Scattering Poles
David Borthwick

9. Growth Estimates and Resonance Bounds
David Borthwick

10. Selberg Zeta Function
David Borthwick

11. Wave Trace and Poisson Formula
David Borthwick

12. Resonance Asymptotics
David Borthwick

13. Inverse Spectral Geometry
David Borthwick

14. Patterson-Sullivan Theory
David Borthwick

15. Dynamical Approach to the Zeta Function
David Borthwick

16. Numerical Computations
David Borthwick

Avainsanat: Mathematics, Functional Analysis, Partial Differential Equations, Functions of a Complex Variable, Hyperbolic Geometry, Mathematical Methods in Physics