A Reduction Formula for the Dunkl Kernel for the Root Systems of Type A

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发表日期：

2025年8月13日

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Patrice Sawyer

摘要

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 $A_n$ $A_{n}$ is expressed as an integral involving the Dunkl kernel for the root system $A_{n-1}$ $A_{n - 1}$ . The corresponding reduction formula for the intertwining operator $V_k$ $V_{k}$ is given.