Scattering theory for the wave equation on a hyperbolic manifold

DOI10.1016/0022-1236(87)90030-9zbMath0657.35105OpenAlexW4255202779MaRDI QIDQ1110736

Alex Woo, Bettina Wiskott, Ralph S. Phillips

Publication date: 1987

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(87)90030-9

zbMATH Keywords

spectrumwave operatorsautomorphic functionsperturbed Laplace-Beltrami operatortranslation representationfinite geometric propertynon-Euclidean wave equationshort-range perturbations

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Perturbations in context of PDEs (35B20)

Related Items

Scattering operator and Eisenstein integral for Kleinian groups, Spectral analysis of second-order elliptic operators on noncompact manifolds, A Mourre estimate and related bounds for hyperbolic manifolds with cusps of non-maximal rank

Cites Work

• The Laplace operator on a hyperbolic manifold. I: Spectral and scattering theory
• The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces
• Asymptotic completeness for quantum mechanical potential scattering. I: Short range potentials
• Translation representations for automorphic solutions of the wave equation in non-euclidean spaces. I
• Translation representations for automorphic solutions of the wave equation in non-euclidean spaces. II
• Translation representations for automorphic solutions of the wave equation in non-euclidean spaces. III
• Unnamed Item
• Unnamed Item
• Unnamed Item