A formula and sharp estimates for the Dunkl kernel for the root system A2
Abstract
In this paper, we transform a formula for the A2 Dunkl kernel by B\'echir Amri. The resulting formula expresses the A2 Dunkl kernel in terms of the A1 Dunkl kernel involving only positive terms. This result allows us to derive sharp estimates for the A2 Dunkl kernel. As an interesting by-product, we obtain sharp esitmates for the corresponding heat kernel.
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