Translation Representations for Automorphic Solutions of The Wave Equation in Non-Euclidean Spaces; The Case of Finite Volume

DOI10.2307/2000260zbMath0576.30037OpenAlexW4240817957MaRDI QIDQ3697322

Peter D. Lax, Ralph S. Phillips

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2000260

zbMATH Keywords

completenessEisenstein serieshyperbolic Laplacianspectral theoryscattering theorytranslation representations

Mathematics Subject Classification ID

Wave equation (35L05) Modular and automorphic functions (11F03) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (1)

Scattering theory for twisted automorphic functions

Cites Work

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• Pseudo-laplaciens. II
• The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces
• Translation representations for automorphic solutions of the wave equation in non-euclidean spaces. I
• Scattering theory for automorphic functions
• Scattering Theory for Automorphic Functions. (AM-87)

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