Abstract
In this paper we study the chaotic behavior of the heat semigroup generated by the Dunkl-Laplacian on weighted L-p spaces. In the case of the heat semigroup associated to the standard Laplacian we obtain a complete picture on the spaces L-p(R-n, (phi(i rho)(x))(2)dx) where phi(i rho) is the Euclidean spherical function. The behavior is very similar to the case of the Laplace-Beltrami operator on non-compact Riemannian symmetric spaces studied by Pramanik and Sarkar.
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