Eigenspaces of the Laplace-Beltrami operator on a hyperboloid

DOI10.1017/S0027763000019000zbMath0468.35074OpenAlexW1507130534MaRDI QIDQ3921598

Jiro Sekiguchi

Publication date: 1980

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000019000

zbMATH Keywords

Poisson integralLaplace-Beltrami operatorsymmetric spaceeigen-hyperfunction

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Differential geometry of symmetric spaces (53C35)

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Cites Work

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• Eigenfunctions of the Laplacian on a real hyperbolic space
• Systems of differential equations with regular singularities and their boundary value problems
• A realization of Riemannian symmetric spaces
• Eigenfunctions of invariant differential operators on a symmetric space
• Analysis on real hyperbolic spaces
• The orbits of affine symmetric spaces under the action of minimal parabolic subgroups
• A duality for symmetric spaces with applications to group representations
• Spherical Functions on a Semisimple Lie Group, I
• Invariant differential equations on homogeneous manifolds

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