A formula and sharp estimates for the Dunkl kernel for the root system $A_2$
Classical Analysis and ODEs
2023-08-04 v1 Representation Theory
Abstract
In this paper, we transform a formula for the Dunkl kernel by B\'echir Amri. The resulting formula expresses the Dunkl kernel in terms of the Dunkl kernel involving only positive terms. This result allows us to derive sharp estimates for the Dunkl kernel. As an interesting by-product, we obtain sharp esitmates for the corresponding heat kernel.
Cite
@article{arxiv.2308.01388,
title = {A formula and sharp estimates for the Dunkl kernel for the root system $A_2$},
author = {P. Graczyk and P. Sawyer},
journal= {arXiv preprint arXiv:2308.01388},
year = {2023}
}