A characterization of symmetric Siegel domains by convexity of Cayley transformation images

DOI10.2748/TMJ/1176734750zbMath1201.32011OpenAlexW2168262914MaRDI QIDQ2471141

Chifune Kai

Publication date: 22 February 2008

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1176734750

zbMATH Keywords

Cayley transformhomogeneous Siegel domainnormal \(j\)-algebrasymmetric Siegel domain

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15)

Related Items (2)

Some Problems ⋮ A characterization of symmetric cones by an order-reversing property of the pseudoinverse maps

Cites Work

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• Quasisymmetric Siegel Domains and the Automorphisms of Homogeneous Siegel Domains
• Berezin transforms and Laplace-Beltrami operators on homogeneous Siegel domains
• A characterization of symmetric Siegel domains through a Cayley transform

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