Hua operators on bounded homogeneous domains in \(\mathbb{C}^ n\) and alternative reproducing kernels for holomorphic functions

DOI10.1006/jfan.1997.3117zbMath0887.43005OpenAlexW2094217795MaRDI QIDQ1375923

Andrzej Hulanicki, Ewa Damek, Richard C. Penney

Publication date: 19 April 1998

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1997.3117

zbMATH Keywords

differential operatorsPoisson kernelbounded homogeneous domainHua operatorBergman-Shilov boundary

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items

Hua system on irreducible Hermitian symmetric spaces of nontube type., \(L^{2}\)-Poisson integral representations of solutions of the Hua system on the bounded symmetric domain \(SU(n,n)\)/\(S(U(n){\times}U(n))\), Asymptotic expansions and Hua-harmonic functions on bounded homogeneous domains, A partial generalization of the Helgason Conjecture to general bounded homogeneous domains, The Paley-Wiener theorem for the Hua system, Hua system and pluriharmonicity for symmetric irreducible Siegel domains of type II

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