The reproducing kernel of $\mathcal H^2$ and radial eigenfunctions of the hyperbolic Laplacian

DOI10.7146/MATH.SCAND.A-109674zbMath1412.31003OpenAlexW2909223582MaRDI QIDQ4622686

Manfred Stoll

Publication date: 13 February 2019

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7146/math.scand.a-109674

zbMATH Keywords

hyperbolic Laplacianreproducing kernelhyperbolic metrichyperbolic harmonic functions

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Spherical harmonics (33C55)

Related Items (3)

Lipschitz type characterizations for Bergman-Orlicz spaces of eigenfunctions on hyperbolic space ⋮ Optimal estimates for hyperbolic Poisson integrals of functions in \(L^p\) with \(p > 1\) and radial eigenfunctions of the hyperbolic Laplacian ⋮ \(\mathcal{H}\)-harmonic Bergman projection on the real hyperbolic ball

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