Multivariate Askey–Wilson functions and overlap coefficients
Wolter Groenevelt (TU Delft - Analysis)
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Abstract
We study certain overlap coefficients appearing in representation theory of the quantum algebra Uq(sl2(C)). The overlap coefficients can be identified as products of Askey–Wilson functions, leading to an algebraic interpretation of the multivariate Askey–Wilson functions introduced by Geronimo and Iliev [1]. We use the underlying coalgebra structure to derive q-difference equations satisfied by the multivariate Askey–Wilson functions.