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

2013/10/30 by Sami Ghazouani, Ghazouani, Sami, Fethi Bouzeffour +1
Computer Science · Mathematics · #Classical Analysis and ODEs (math.CA) #Digital Filter Design and Implementation #FOS: Mathematics #Mathematical Analysis and Transform Methods #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1310.8502

openalex publication_date 2013/10/30 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

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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