English

A Generalized discrete Riesz transforms

Classical Analysis and ODEs 2020-03-12 v1 Functional Analysis

Abstract

In this paper, we introduce a discrete Riesz transforms associated with the non-symmetric trigonometric Heckman-Opdam polynomials of type A1A_1. We prove that they can be extended to a bounded operators on p(Z)\ell^p(\mathbb{Z}), 1<p<1<p<\infty.

Keywords

Cite

@article{arxiv.2003.05349,
  title  = {A Generalized discrete Riesz transforms},
  author = {Béchir Amri and Khawla Kerfef},
  journal= {arXiv preprint arXiv:2003.05349},
  year   = {2020}
}
R2 v1 2026-06-23T14:11:44.369Z