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arxiv: 1506.01672 · v1 · pith:IT2VVWY4new · submitted 2015-06-04 · 🧮 math.CA

Dunkl completely monotonic functions

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keywords dunklsigmacompletelyfunctionsmonotonicanalogueestablishintroduce
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We introduce the notion of Dunkl completely monotonic functions on $\left(-\sigma,\sigma\right), \sigma>0$. We establish a restrictive version of the analogue of Schoenberg's theorem in Dunkl setting.

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