Sur la valeur au bord du noyau de Poisson d'un domaine borné symétrique

DOI10.1007/BF01451850zbMath0579.32052MaRDI QIDQ1067055

Michel Lassalle

Publication date: 1984

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182929

zbMATH Keywords

domainShilov boundarystar shaped domainasymptotic behaviour of the Poisson kernel of a bounded symmetricasymptotic behaviour of the Poisson kernel of a bounded symmetric domain

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Differential geometry of symmetric spaces (53C35) Boundary behavior of holomorphic functions of several complex variables (32A40) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Cites Work

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• The Poisson integral for generalized half-planes and bounded symmetric domains
• Radial limits of the Poisson kernel on the classical Cartan domains