Selberg trace formulae and equidistribution theorems for closed geodesics and Laplace eigenfunctions: finite area surfaces

DOI10.1090/memo/0465zbMath0753.11023OpenAlexW2054725963MaRDI QIDQ3988337

Steven Zelditch

Publication date: 28 June 1992

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0465

zbMATH Keywords

Selberg trace formuladistribution of eigenfunctionsLaplace eigenfunctionsanalogues of Weyl's lawasymptotic distribtion of closed geodesicsfinite area surfacesLindelöf hypothesis for zeta functions of Rankin-Selberg typenon-cocompact cofinite discrete group

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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