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

DOI10.1080/10652469.2012.749401zbMath1278.35165OpenAlexW2012218809MaRDI QIDQ2854311

Gusein Sh. Guseinov

Publication date: 18 October 2013

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2012.749401

zbMATH Keywords

hyperbolic spaceLaplace-Beltrami operatorspectral decompositionLegendre 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)

Related Items (3)

Maclaurin spectral results on rank one symmetric spaces of noncompact type ⋮ On the eigenfunction expansion of the Laplace–Beltrami operator in hyperbolic space ⋮ On the functions of two commuting Laplace-Beltrami operators in hyperbolic space

Cites Work

• Unnamed Item
• Spectral approach to derive the representation formulae for solutions of the wave equation
• Inverse spectral problems on hyperbolic manifolds and their applications to inverse boundary value problems in Euclidean space

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