On the fractional Dunkl Laplacian

2021/10/14 by F. Bouzeffour, Bouzeffour, F., W. Jedidi +1
Engineering · Mathematics · Medicine · #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Medical Imaging Techniques and Applications #Microwave Imaging and Scattering Analysis

paper · pdf · doi:10.48550/arxiv.2110.08224

openalex publication_date 2021/10/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we present an approach to the fractional Dunkl Laplacian in a framework emerging from certain reflection symmetries in Euclidean spaces. Our main result is pointwise formulas, Bochner subordination, and an extension problem for the fractional Dunkl Laplacian as well

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