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

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dc.creatorSchapira, Bruno
dc.date2006-05-02
dc.date.accessioned2026-07-07T07:13:49Z
dc.date.available2026-07-07T07:13:49Z
dc.descriptionUnder 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.
dc.identifierhttps://arxiv.org/abs/math/0605045
dc.identifierhttp://arxiv.org/abs/math/0605045
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112621
dc.subjectClassical Analysis and ODEs
dc.subject33D67, 33E30, 42B10, 58J35. 35K05, 42A90, 43A32, 47D07, 58J65
dc.titleContributions to the hypergeometric function theory of Heckman and Opdam: sharp estimates, Schwartz space, heat kernel
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