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

2021/11/26 by Piotr Graczyk, Graczyk, Piotr, Patrice Sawyer +1 · 1 citation
Mathematics · #33C67 #43A90 #53C35 #60J35 #Advanced Mathematical Physics Problems #FOS: Mathematics #Mathematical Analysis and Transform Methods #Representation Theory (math.RT) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2111.13529

openalex publication_date 2021/11/26 · openalex created_date 2022/11/06 · openalex updated_date 2026/07/28

Abstract

In this article, we prove exact estimates for the W-invariant Dunkl kernel\nand heat kernel, for the root system of type A with arbitrary positive\nmultiplicities. We apply the estimates of the W-invariant Dunkl heat kernel\nto compute sharp estimates for the Newton kernel and for the s-stable\nsemigroups generated by a fractional power of the W-invariant Dunkl\nLaplacian.\n

Citations

• Subordinated Markov processes: sharp estimates for heat kernels and Green functions

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• Upper bound on heat kernels of finite particle systems of Keller-Segel type

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