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arXiv · 2111.13529

Sharp estimates for $W$-invariant Dunkl and heat kernels in the $A_n$ case

Piotr Graczyk·Patrice Sawyer
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Abstract

In this article, we prove exact estimates for the $W$-invariant Dunkl kernel and heat kernel, for the root system of type $A$ with arbitrary positive multiplicities. We apply the estimates of the $W$-invariant Dunkl heat kernel to compute sharp estimates for the Newton kernel and for the $s$-stable semigroups generated by a fractional power of the $W$-invariant Dunkl Laplacian.

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BibTeXRIS

Piotr Graczyk, Patrice Sawyer. 2021-11-26. Sharp estimates for $W$-invariant Dunkl and heat kernels in the $A_n$ case. https://arxiv.org/abs/2111.13529

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