Contributions to the hypergeometric function theory of Heckman and Opdam: sharp estimates, Schwartz space, heat kernel

Abstract : Under the assumption of positive multiplicity, we obtain basic estimates of the hypergeometric functions F_\la and G_\la of Heckman and Opdam, and sharp estimates of the particular functions F_0 and G_0. Next we prove the Paley-Wiener theorem for the Schwartz class, solve the heat equation and estimate the heat kernel.
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Contributor : Bruno Schapira <>
Submitted on : Tuesday, May 2, 2006 - 10:13:33 AM
Last modification on : Sunday, March 31, 2019 - 1:14:21 AM
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Bruno Schapira. Contributions to the hypergeometric function theory of Heckman and Opdam: sharp estimates, Schwartz space, heat kernel. 2006. ⟨hal-00023581⟩

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