Fourier and Gegenbauer expansions for a fundamental solution of the Laplacian in the hyperboloid model of hyperbolic geometry

DOI10.1088/1751-8113/45/14/145206zbMath1238.31006arXiv1105.0386OpenAlexW2035362744MaRDI QIDQ2881351

Publication date: 30 April 2012

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.0386

zbMATH Keywords

Fourier expansion hyperbolic space Laplace-Beltrami operator Gegenbauer polynomials

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Classical hypergeometric functions, ({}_2F_1) (33C05) Potential theory on Riemannian manifolds and other spaces (31C12)

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