The generalized spherical function for odd-dimensional bounded symmetric domains of type IV

DOI10.1080/17476933.2011.644278zbMath1256.32020OpenAlexW2170449459MaRDI QIDQ3119095

Fouzia El Wassouli

Publication date: 7 March 2012

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2011.644278

zbMATH Keywords

hypergeometric functionbounded symmetric domainShilov boundarygeneralized spherical functionLie ballHarish-Chandra \(c\)-function

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Harmonic analysis and spherical functions (43A90)

Cites Work

• Unnamed Item
• An explicit expression for the Harish-Chandra c-function for the homogeneous space \(SO(2,n)/S(O(2)\times O(n)), \, n\in \{ 2,4,6\}\)
• \(L^{2}\)-Poisson integral representations of solutions of the Hua system on the bounded symmetric domain \(SU(n,n)\)/\(S(U(n){\times}U(n))\)
• Boundary value problems for the Shilov boundary of a bounded symmetric domain of tube type
• L^p-Poisson integral representations of solutions of the Hua system on the Lie ball in ℂⁿ
• L²-Poisson integral representations of solutions of the Hua system on the ball in ℂ²

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