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

Fethi Bouzeffour; Sami Ghazouani

arxiv: 1310.8502 · v1 · pith:5FWWRBBAnew · submitted 2013-10-30 · 🧮 math.CA

A Fractional Power for Dunkl Transforms in L²(R^(N), ω_(k)(x)dx)

Sami Ghazouani , Fethi Bouzeffour This is my paper

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keywords dunklfractionaltransformalphabochnerderivedformulaidentity

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

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A Fractional Power for Dunkl Transforms in L²(R^(N), ω_(k)(x)dx)

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