Contributions to the hypergeometric function theory of Heckman and Opdam: sharp estimates, Schwartz space, heat kernel
Classical Analysis and ODEs
2007-05-23 v1
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.
Cite
@article{arxiv.math/0605045,
title = {Contributions to the hypergeometric function theory of Heckman and Opdam: sharp estimates, Schwartz space, heat kernel},
author = {Bruno Schapira},
journal= {arXiv preprint arXiv:math/0605045},
year = {2007}
}