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arXiv · 2609.02576

Sharp estimates for the Jacobi and trigonometric Dunkl heat kernels

Paweł Plewa
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Abstract

We prove sharp both-sided estimates for the $W$-invariant trigonometric Dunkl heat kernel in rank one case, including root systems $A_1$ and $BC_1$. Consequently, we obtain sharp bounds for the non-compact Jacobi heat kernel in the full range of the type parameters.

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Paweł Plewa. 2026-09-02. Sharp estimates for the Jacobi and trigonometric Dunkl heat kernels. https://arxiv.org/abs/2609.02576

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