Hermitian symmetric spaces of tube type and multivariate Meixner-Pollaczek polynomials | Zendy

Jacques Faraut | Zendy; Masato Wakayama | Zendy

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Hermitian symmetric spaces of tube type and multivariate Meixner-Pollaczek polynomials

Author(s) -

Jacques Faraut,

Masato Wakayama

Publication year - 2017

Publication title -

mathematica scandinavica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.553

H-Index - 30

eISSN - 1903-1807

pISSN - 0025-5521

DOI - 10.7146/math.scand.a-25506

Subject(s) - mathematics , cayley transform , orthogonal polynomials , hermitian matrix , classical orthogonal polynomials , pure mathematics , mathematical analysis , type (biology) , orthogonality , discrete orthogonal polynomials , discrete mathematics , geometry , graph , ecology , voltage graph , line graph , biology

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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