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arXiv 2008-12-06 0 views

Hermitian Symmetric Spaces of Tube Type and Multivariate Meixner-Pollaczek Polynomials

Faraut, Jacques · Wakayama, Masato

Original · EN

Harmonic analysis on Hermitian symmetric spaces of tube type is a natural framework for introducing multivariate Meixner-Pollaczek polynomials. Their main properties are established in this setting: generating and determinantal formulae, difference equations. As an application we consider the problem of evaluating moments related to a multivariate Barnes type integral involving the Harish-Chandra c-function of a symmetric cone.

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