Eigenfunctions of the Laplacian on a real hyperbolic space
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Publication:1211643
DOI10.2969/jmsj/02710082zbMath0292.35023OpenAlexW2070151203MaRDI QIDQ1211643
Publication date: 1975
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2969/jmsj/02710082
General topics in linear spectral theory for PDEs (35P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Global Riemannian geometry, including pinching (53C20) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)
Related Items (10)
Maclaurin spectral results on rank one symmetric spaces of noncompact type ⋮ Hyperfunctions in hyperbolic geometry ⋮ Convexity properties of harmonic functions on parameterized families of hypersurfaces ⋮ Optimal estimates for hyperbolic Poisson integrals of functions in \(L^p\) with \(p > 1\) and radial eigenfunctions of the hyperbolic Laplacian ⋮ Bounded \(\lambda \)-harmonic functions in domains of \({\mathbb {H}}^n\) with asymptotic boundary with fractional dimension ⋮ Special function representations of the Poisson kernel on hyperbolic spaces ⋮ Conic singularities, generalized scattering matrix, and inverse scattering on asymptotically hyperbolic surfaces ⋮ Invariant differential equations on homogeneous manifolds ⋮ Group theoretic nature of certain recursion relations for singular Cauchy problems ⋮ Eigenspaces of the Laplace-Beltrami operator on a hyperboloid
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