Hypergeometric functions associated to cones of convex type in a Euclidean Jordan algebra

DOI10.1006/jfan.2002.3959zbMath1047.22009OpenAlexW2057650089MaRDI QIDQ1849084

Leticia Barchini, Salem Ben Said

Publication date: 28 November 2002

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

Full work available at URL: https://doi.org/10.1006/jfan.2002.3959

zbMATH Keywords

hypergeometric functionEuclidean Jordan algebraindefinite orbit

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46) Other hypergeometric functions and integrals in several variables (33C70) Jordan algebras (algebras, triples and pairs) (17C99)

Cites Work

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• Confluent hypergeometric functions on tube domains
• Explicit Hilbert spaces for certain unipotent representations
• Function spaces and reproducing kernels on bounded symmetric domains
• Application of restriction of Fourier transforms to an example from representation theory.

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