Positive definite spherical functions on Olshanskii domains

DOI10.1090/S0002-9947-99-02184-4zbMath0933.22019OpenAlexW1500526982MaRDI QIDQ4699640

Joachim Hilgert, Karl-Hermann Neeb

Publication date: 17 November 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02184-4

zbMATH Keywords

spherical functionsLie groupcomplex Lie groupOl'shanskii semigroupOl'shanskii space

Mathematics Subject Classification ID

Representations of general topological groups and semigroups (22A25) Semisimple Lie groups and their representations (22E46)

Related Items (4)

Representations, characters, and spherical functions associated to causal symmetric spaces ⋮ Spherical functions on mixed symmetric spaces ⋮ Generalized Fourier transforms \(\mathcal F_{k,a}\) ⋮ Laguerre semigroup and Dunkl operators

Cites Work

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• Coherent states, holomorphic extensions, and highest weight representations
• Spherical functions on Ol'shanskiĭ spaces
• Square integrable highest weight representations
• Spherical representations and mixed symmetric spaces
• Theory of Reproducing Kernels
• A convexity theorem for semisimple symmetric spaces

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