# Duality and difference operators for matrix valued discrete polynomials on the nonnegative integers

@inproceedings{Eijsvoogel2021DualityAD, title={Duality and difference operators for matrix valued discrete polynomials on the nonnegative integers}, author={Bruno Eijsvoogel and Luc'ia Morey and Pablo Rom'an}, year={2021} }

In this paper we introduce a notion of duality for matrix valued orthogonal polynomials with respect to a measure supported on the nonnegative integers. We show that the dual families are closely related to certain difference operators acting on the matrix orthogonal polynomials. These operators belong to the so called Fourier algebras, which play a key role in the construction of the families. In order to illustrate duality, we describe a family of Charlier type matrix orthogonal polynomials…

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