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math.RT2023
Multivariate Meixner polynomials related to holomorphic discrete series representations of
Wolter Groenevelt, Joop Vermeulen
We show that Griffiths' multivariate Meixner polynomials occur as matrix coefficients of holomorphic discrete series representations of the group . Using this int…
math.RT2007
Multivariable Wilson polynomials and degenerate Hecke algebras
Wolter Groenevelt
We study a rational version of the double affine Hecke algebra associated to the nonreduced affine root system of type . A certain representation in terms of differ…
math.RT2005★ 1 cited
Fourier transforms related to a root system of rank 1
Wolter Groenevelt
We introduce an algebra consisting of difference-reflection operators and multiplication operators that can be considered as a analogue of Sahi's double affine H…