An explicit expression for the Harish-Chandra c-function for the homogeneous space \(SO(2,n)/S(O(2)\times O(n)), \, n\in \{ 2,4,6\}\)

DOI10.1016/J.CAM.2008.01.002zbMath1235.43011OpenAlexW2042913980MaRDI QIDQ719416

Fouzia El Wassouli

Publication date: 10 October 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.01.002

zbMATH Keywords

spherical functionShilov boundaryLie ballHarish-Chandra \(c\)-function

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Harmonic analysis and spherical functions (43A90)

Related Items (1)

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

Cites Work

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• \(L^{2}\)-Poisson integral representations of solutions of the Hua system on the bounded symmetric domain \(SU(n,n)\)/\(S(U(n){\times}U(n))\)
• An analytic formula for Macdonald polynomials
• \(L^p\)-Poisson integral representations of solutions of the Hua system on Hermitian symmetric spaces 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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