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

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.

preprint2015arXivOpen access
Jacques FarautMasato Wakayama
math.RTmath.CA
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Jacques FarautMasato Wakayama

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