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arXiv · 1310.8502

A Fractional Power for Dunkl Transforms in $ L^{2}(\R^{N}, ω_{k}(x)dx)$

Sami Ghazouani·Fethi Bouzeffour
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Abstract

A new fractional version of the Dunkl transform for real order $α$ is obtained. An integral representation, a Bochner type identity and a Master formula for this transform are derived.

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Sami Ghazouani, Fethi Bouzeffour. 2013-10-30. A Fractional Power for Dunkl Transforms in $ L^{2}(\R^{N}, ω_{k}(x)dx)$. https://arxiv.org/abs/1310.8502

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