Fine Convergence and Admissible Convergence for Symmetric Spaces of Rank One

DOI10.2307/1998650zbMath0455.31006OpenAlexW4242574713MaRDI QIDQ3903253

J. C. Taylor, Adam Korányi

Publication date: 1981

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1998650

zbMATH Keywords

Martin boundaryeigenfunctions of the Laplacianadmissible convergencesymmetric space of rank onelocal Fatou theoremfine convergenceharmonic functions on a halfspace

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Axiomatic potential theory (31D05) Differential geometry of symmetric spaces (53C35) Boundary behavior of harmonic functions in higher dimensions (31B25)

Related Items (5)

Fine and Nontangential Convergence on an NTA Domain ⋮ Fine and Parabolic Limits for Solutions of Second-Order Linear Parabolic Equations on an Infinite Slab ⋮ Fatou theorem and its converse for positive eigenfunctions of the Laplace-Beltrami operator on harmonic \textit{NA} groups ⋮ Boundary behavior of functions on complete manifolds of negative curvature ⋮ Projection theorems for hitting probabilities and a theorem of Littlewood

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