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Sharp Estimates of Radial Dunkl and Heat Kernels in the Complex Case $A_n$ (2012.12022v1)
Published 22 Dec 2020 in math.RT
Abstract: 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. Dans cet article, nous consid\'erons le cas g\'eom\'etrique radial de Dunkl $ k = 1 $ correspondant aux espaces sym\'etriques riemanniens plats dans le cas complexe et nous prouvons des estimations exactes pour le noyau de Dunkl `a valeur positive et pour le noyau de chaleur radial
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