A Tangential Convergence for Bounded Harmonic Functions on a Rank one Symmetric Space

DOI10.2307/1999742zbMath0471.43007OpenAlexW4248242299MaRDI QIDQ3924656

Jacek M. Cygan

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/1999742

zbMATH Keywords

symmetric spacesharmonic functionsradial functions

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Differential geometry of symmetric spaces (53C35) Harmonic analysis and spherical functions (43A90) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (2)

Maximal holonomy of infra-nilmanifolds with $2$-dimensional quaternionic Heisenberg geometry ⋮ TANGENTIAL CONVERGENCE OF BOUNDED HARMONIC FUNCTIONS ON GENERALIZED SIEGEL DOMAINS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Tauberian theorem and tangential convergence for bounded harmonic functions on balls in \(\mathbb{C}^n\)
• Analyse harmonique sur les groupes de Lie. Séminaire Nancy-Strasbourg 1973--75
• Harmonische Analyse auf gewissen nilpotenten Lieschen Gruppen
• Fourier analysis on the Heisenberg group
• Boundary Behavior of Harmonic Forms on a Rank One Symmetric Space
• APPLICATIONS OF THE RADON TRANSFORM TO REPRESENTATIONS OF SEMISIMPLE LIE GROUPS

This page was built for publication: A Tangential Convergence for Bounded Harmonic Functions on a Rank one Symmetric Space