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W2964108647 abstract "Let G(,) be the eigenfunctions of the Dunkl–Cherednik operator T(,) on . In this paper we express the product G(,)(x)G(,)(y) as an integral in terms of G(,)(z) with an explicit kernel. In general this kernel is not positive. Furthermore, by taking the so-called rational limit, we recover the product formula of M. Rösler for the Dunkl kernel. We then define and study a convolution structure associated to G(,)." @default.
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W2964108647 date "2012-01-01" @default.
W2964108647 modified "2023-10-09" @default.
W2964108647 title "Opdam's hypergeometric functions: product formula and convolution structure in dimension 1" @default.
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W2964108647 doi "https://doi.org/10.1515/apam.2011.008" @default.
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