The wave kernel for the Laplacian on the classical locally symmetric spaces of rank one, theta functions, trace formulas and the Selberg zeta function. With an appendix by Andreas Juhl

DOI10.1007/BF02108307zbMath0832.53041arXivdg-ga/9407013MaRDI QIDQ1891456

Martin Olbrich, Ulrich Bunke

Publication date: 5 July 1995

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9407013

zbMATH Keywords

theta functionmeromorphic continuationSelberg zeta functionssymmetric dualsymmetric space of negative curvaturewave kernels

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Wave equation (35L05) Discrete subgroups of Lie groups (22E40) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Differential geometry of symmetric spaces (53C35) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Hyperbolic equations on manifolds (58J45)

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