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

P. Graczyk; P. Sawyer

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arXiv · 2012.12022

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

P. Graczyk·P. Sawyer

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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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BibTeX RIS

P. Graczyk, P. Sawyer. 2020-12-22. Sharp Estimates of Radial Dunkl and Heat Kernels in the Complex Case $A_n$. https://arxiv.org/abs/2012.12022

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