Sharp Estimates of Radial Dunkl and Heat Kernels in the Complex Case $A_n$

Graczyk, Piotr; Sawyer, Patrice

Comptes Rendus. Mathématique, Tome 359 (2021) no. 4, pp. 427-437.

Dans cet article, nous considérons le cas géométrique radial de Dunkl $k=1$ correspondant aux espaces symétriques riemanniens plats dans le cas complexe et nous prouvons des estimations exactes pour le noyau de Dunkl à valeur positive et pour le noyau de chaleur radial.

In this article, we consider the radial Dunkl geometric case $k=1$ corresponding to flat Riemannian symmetric spaces in the complex case and we prove exact estimates for the positive valued Dunkl kernel and for the radial heat kernel.

Classification : 33C67, 43A90, 53C35

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