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A formula and sharp estimates for the Dunkl kernel for the root system $A_2$

Published 2 Aug 2023 in math.CA and math.RT | (2308.01388v1)

Abstract: In this paper, we transform a formula for the $A_2$ Dunkl kernel by B\'echir Amri. The resulting formula expresses the $A_2$ Dunkl kernel in terms of the $A_1$ Dunkl kernel involving only positive terms. This result allows us to derive sharp estimates for the $A_2$ Dunkl kernel. As an interesting by-product, we obtain sharp esitmates for the corresponding heat kernel.

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Authors (2)

  1. P. Graczyk 
  2. P. Sawyer 

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