管型Hermitian对称空间与多元Meixner-Pollaczek多项式
Hermitian Symmetric Spaces of Tube Type and Multivariate Meixner-Pollaczek Polynomials
摘要：
管型Hermite对称空间上的调和分析是引入多元Meixner-Pollaczek多项式的一个自然框架。它们的主要性质建立在这样的设置：生成和行列式公式，差分方程。作为一个应用，我们考虑的问题，评估涉及的Harish-Chandra $c$ -函数的对称锥的多元Barnes型积分的时刻。
英文摘要：
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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