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arXiv · 2412.10866

A reduction formula for the Dunkl kernel for the root systems of type $A$

P. Sawyer
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Abstract

In this paper, we provide a reduction formula for the Dunkl kernel for the root systems of type $A$. The Dunkl kernel for the root system $A_n$ is expressed as an integral involving the Dunkl kernel for the root system $A_{n-1}$. The corresponding reduction formula for the intertwining operator $V_k$ is given.

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BibTeXRIS

P. Sawyer. 2024-12-14. A reduction formula for the Dunkl kernel for the root systems of type $A$. https://arxiv.org/abs/2412.10866

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