Geometric norm equality related to the harmonicity of the Poisson kernel for homogeneous Siegel domains

DOI10.1016/S0022-1236(02)00052-6zbMath1026.32046MaRDI QIDQ1868680

Takaaki Nomura

Publication date: 28 April 2003

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

zbMATH Keywords

Laplace-Beltrami operatorPoisson kernelCayley transformSiegel domainnormal \(j\)-algebra

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Complex Lie groups, group actions on complex spaces (32M05) Homogeneous complex manifolds (32M10) Differential operators in several variables (32W99)

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Family of Cayley transforms of a homogeneous Siegel domain parametrized by admissible linear forms ⋮ A characterization of symmetric Siegel domains by convexity of Cayley transformation images ⋮ A characterization of symmetric tube domains by convexity of Cayley transform images ⋮ Asymptotic expansions and Hua-harmonic functions on bounded homogeneous domains ⋮ A characterization of symmetric cones by an order-reversing property of the pseudoinverse maps ⋮ Takaaki Nomura: a prominent figure of the Tunisia-Japan cooperation

Cites Work

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