We transform a formula for the A2 Dunkl kernel by Béchir 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 estimates for the corresponding heat kernel.
Piotr Graczyk; Patrice Sawyer. A Formula and Sharp Estimates for the Dunkl Kernel for the Root System A2. Journal of Lie Theory, Tome 34 (2024) no. 3, pp. 577-594. http://geodesic.mathdoc.fr/item/JOLT_2024_34_3_a4/
@article{JOLT_2024_34_3_a4,
author = {Piotr Graczyk and Patrice Sawyer},
title = {A {Formula} and {Sharp} {Estimates} for the {Dunkl} {Kernel} for the {Root} {System} {A\protect\textsubscript{2}}},
journal = {Journal of Lie Theory},
pages = {577--594},
year = {2024},
volume = {34},
number = {3},
url = {http://geodesic.mathdoc.fr/item/JOLT_2024_34_3_a4/}
}
TY - JOUR
AU - Piotr Graczyk
AU - Patrice Sawyer
TI - A Formula and Sharp Estimates for the Dunkl Kernel for the Root System A2
JO - Journal of Lie Theory
PY - 2024
SP - 577
EP - 594
VL - 34
IS - 3
UR - http://geodesic.mathdoc.fr/item/JOLT_2024_34_3_a4/
ID - JOLT_2024_34_3_a4
ER -
%0 Journal Article
%A Piotr Graczyk
%A Patrice Sawyer
%T A Formula and Sharp Estimates for the Dunkl Kernel for the Root System A2
%J Journal of Lie Theory
%D 2024
%P 577-594
%V 34
%N 3
%U http://geodesic.mathdoc.fr/item/JOLT_2024_34_3_a4/
%F JOLT_2024_34_3_a4
