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