On the eigenfunction expansion of the Laplace–Beltrami operator in hyperbolic space

DOI10.1080/17476933.2015.1012163zbMath1333.35129OpenAlexW2312686935MaRDI QIDQ3195530

Gusein Sh. Guseinov

Publication date: 20 October 2015

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2015.1012163

zbMATH Keywords

spectral projectionhyperbolic spaceLaplace-Beltrami operatoreigenfunction expansionassociated Legendre function

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

Maclaurin spectral results on rank one symmetric spaces of noncompact type

Cites Work

• Description of the structure of arbitrary functions of the Laplace–Beltrami operator in hyperbolic space

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