On the analytic continuation of rank one Eisenstein series

DOI10.1007/BF02249264zbMath0870.11032MaRDI QIDQ1919147

Werner Müller

Publication date: 31 July 1997

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/58237

zbMATH Keywords

Laplace-Beltrami operatorspectral analysisresolvent functionmeromorphyanalytic extension of Eisenstein seriesSchrödinger scattering theory

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Analytic continuation of functions of one complex variable (30B40)

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Cites Work

• On the cuspidal spectrum for finite volume symmetric spaces
• Hilbert modular surfaces
• Meromorphic families of compact operators
• Automorphic forms on semisimple Lie groups. Notes by J. G. M. Mars.
• Spectral Theory for Riemannian Manifolds with Cusps and a Related Trace Formula
• Stable real cohomology of arithmetic groups
• Scattering Theory for Automorphic Functions. (AM-87)
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