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On the Fractional Dunkl Laplacian
  • Fethi Bouzeffour,
  • Wissem Jedidi
Fethi Bouzeffour
King Saud University College of Science

Corresponding Author:fbouzaffour@ksu.edu.sa

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Wissem Jedidi
King Saud University College of Science
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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.