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

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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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03452787
Contributor : Piotr Graczyk Connect in order to contact the contributor
Submitted on : Saturday, November 27, 2021 - 2:31:26 PM
Last modification on : Thursday, December 2, 2021 - 3:49:15 AM
Long-term archiving on: : Monday, February 28, 2022 - 6:19:52 PM

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  • HAL Id : hal-03452787, version 1

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Piotr Graczyk, Patrice Sawyer. Sharp estimates for W-invariant Dunkl and heat kernels in the A_n case. {date}. ⟨hal-03452787⟩

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