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Selberg Trace Formulae and Equidistribution Theorems for Closed Geodesics and Laplace Eigenfunctions : Finite Area Surfaces.

Zelditch, Steven.

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.


Electronic books.

QA643 -- .Z453 1992eb

516.3/6

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