Selberg Trace Formulae and Equidistribution Theorems for Closed Geodesics and Laplace Eigenfunctions : Finite Area Surfaces.
- 1st ed.
- 1 online resource (113 pages)
- Memoirs of the American Mathematical Society ; v.96 .
- Memoirs of the American Mathematical Society .
Intro -- Table of Contents -- 0. Introduction -- 1. Review of [Z .2] on the compact case -- 2. Trace formula for Tr σR[sup(⌈)][sub(ϕ)] (σcuspidal) -- 3. Trace formula for Tr σR[sup(⌈)][sub(ϕ)] (σ Eisenstein) -- 4. Spectral estimates (Weyl laws) -- 5. Asymptotic expansions (Prime geodesic theorems) -- 6. Equidistribution of closed geodesics -- Appendix: Notations, Definitions and Background -- References.
9781470408916
Curves on surfaces. Geodesics (Mathematics). Cusp forms (Mathematics). Eisenstein series.