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arXiv · 2009.02087

Dunkl intertwining operator for symmetric groups

Hendrik De Bie·Pan Lian
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Abstract

In this note, we express explicitly the Dunkl kernel and generalized Bessel functions of type $A_{n-1}$ by the Humbert's function $\Phi_{2}^{(n)}$, with one variable specified. The obtained formulas lead to a new proof of Xu's integral expression for the intertwining operator associated to symmetric groups, which was recently reported in [21].

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Hendrik De Bie, Pan Lian. 2020-09-04. Dunkl intertwining operator for symmetric groups. https://arxiv.org/abs/2009.02087

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