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Czechoslovak Mathematical Journal

, Volume 69, Issue 1, pp 257–273 | Cite as

Higher Order Riesz Transforms for the Dunkl Ornstein-Uhlenbeck Operator

  • Walid NefziEmail author
Article
  • 15 Downloads

Abstract

The aim of this paper is to extend the study of Riesz transforms associated to Dunkl Ornstein-Uhlenbeck operator considered by A. Nowak, L. Roncal and K. Stempak to higher order.

Keywords

Dunkl Laplacian Dunkl Ornstein-Uhlenbeck operator generalized Hermite polynomial Riesz transform 

MSC 2010

26A33 42C10 42C20 43A15 47G40 

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Copyright information

© Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic 2018

Authors and Affiliations

  1. 1.University of Tunis El Manar, Faculty of Sciences of Tunis, LR11ES11 Analyse Mathématiques et ApplicationsTunisTunisia

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