Boundary value problems for various boundaries of Hermitian symmetric spaces

DOI10.1006/jfan.1999.3529zbMath0955.22012OpenAlexW2039146127MaRDI QIDQ1968731

Nobukazu Shimeno

Publication date: 1 May 2000

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

Full work available at URL: https://doi.org/10.1006/jfan.1999.3529

zbMATH Keywords

intertwining operatorboundary value problemsdifferential operatorsHermitian symmetric spacePoisson transformprincipal series representationHua operator

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30)

Related Items (2)

Hua operators and Poisson transform for bounded symmetric domains ⋮ Boundary Value Problems on Riemannian Symmetric Spaces of the Noncompact Type

Cites Work

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• Boundary value problems for the Shilov boundary of a bounded symmetric domain of tube type
• Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen Räumen
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• One-dimensional $K$-types in finite dimensional representations of semisimple Lie groups: A generalization of Helgason's theorem.
• The Analytic Continuation of the Discrete Series. II

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