
We introduce the notion of Dunkl completely monotonic functions on $\left(-��,��\right), ��>0$. We establish a restrictive version of the analogue of Schoenberg's theorem in Dunkl setting.
Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 26A48, 42A82, 33C52, 42A38
Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 26A48, 42A82, 33C52, 42A38
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