Harmonic analysis, Representation theory
Sharp Estimates of Radial Dunkl and Heat Kernels in the Complex Case A n
Comptes Rendus. Mathématique, Volume 359 (2021) no. 4, pp. 427-437.

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 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.

Published online:
DOI: 10.5802/crmath.188
Classification: 33C67, 43A90, 53C35
Graczyk, Piotr 1; Sawyer, Patrice 2

1 LAREMA, UFR Sciences, Université d’Angers, 2 bd Lavoisier, 49045 Angers cedex 01, France
2 Department of Mathematics and Computer Science, Laurentian University, Sudbury, ON Canada P3E 2C6
     author = {Graczyk, Piotr and Sawyer, Patrice},
     title = {Sharp {Estimates} of {Radial} {Dunkl} and {Heat} {Kernels} in the {Complex} {Case} $A_n$},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {427--437},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {359},
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     year = {2021},
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Graczyk, Piotr; Sawyer, Patrice. Sharp Estimates of Radial Dunkl and Heat Kernels in the Complex Case $A_n$. Comptes Rendus. Mathématique, Volume 359 (2021) no. 4, pp. 427-437. doi : 10.5802/crmath.188. http://www.numdam.org/articles/10.5802/crmath.188/

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