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

Sami Ghazouani; Fethi Bouzeffour

doi:10.48550/arxiv.1310.8502

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

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

Sami Ghazouani and Fethi Bouzeffour

30/10/2013

DOI: https://doi.org/10.48550/arxiv.1310.8502

Abstract

Mathematics - Classical Analysis and ODEs

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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Title: A Fractional Power for Dunkl Transforms in $ L^{2}(\R^{N}, \omega_{k}(x)dx)
Creators - without role: Sami Ghazouani
Fethi Bouzeffour
Identifiers: 9952966008331
Academic Unit: King Saud University
Language: English
Resource Type: Preprint