Polynomial representations associated with symmetric bounded domains

zbMath0313.32042MaRDI QIDQ1220187

Masaru Takeuchi

Publication date: 1973

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (17)

On Hodge-Riemann relations for translation-invariant valuations ⋮ On the algebra of totally degenerate theta functions ⋮ Hermitian Lie Algebras and Metaplectic Representations. I ⋮ Opérateurs différentiels de Shimura et espaces préhomogènes. (Shimura differential operators and prehomogeneous spaces) ⋮ Function spaces and reproducing kernels on bounded symmetric domains ⋮ The fundamental conjecture for homogeneous Kähler manifolds ⋮ Möbius spaces of functions on the Shilov boundaries of classical domains of tubular type ⋮ Characterization of the Poisson integrals for the non-tube bounded symmetric domains ⋮ Les orbites d'un espace hermitien symétrique compact ⋮ Kinematic formulas for tensor valuations ⋮ Classification of invariant valuations on the quaternionic plane ⋮ Séries de Laurent des fonctions holomorphes dans la complexification d'un espace symétrique compact ⋮ A description of a space of holomorphic discrete series by means of the Fourier transform on the Šilov boundary ⋮ Stability of certain minimal submanifolds of compact Hermitian symmetric spaces ⋮ The \(b\)-functions for prehomogeneous vector spaces of commutative parabolic type and universal generalized Verma modules ⋮ Toeplitz Operators on Bounded Symmetric Domains ⋮ Hardy spaces and analytic continuation of Bergman spaces

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