Relativity of the spectrum and discrete groups on hyperbolic spaces

DOI10.1090/S0002-9947-98-01803-0zbMath1044.11577OpenAlexW1495098795MaRDI QIDQ4382938

Nikolaos Mandouvalos

Publication date: 24 March 1998

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-98-01803-0

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (1)

The divisor of Selberg's zeta function for Kleinian groups. Appendix A by Charles Epstein

Cites Work

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• The Hausdorff dimension of the limit set of a geometrically finite Kleinian group
• Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
• The density at infinity of a discrete group of hyperbolic motions
• The limit set of a Fuchsian group
• Spectral Theory and Eisenstein Series for Kleinian Groups
• Scattering operator, Eisenstein series, inner product formula and “Maass-Selberg” relations for Kleinian groups
• The Laplace operator on a hyperbolic manifold. II. Eisenstein series and the scattering matrix.

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