A Generalized discrete Riesz transforms (2003.05349v1)

Published 11 Mar 2020 in math.CA and math.FA

Abstract: In this paper, we introduce a discrete Riesz transforms associated with the non-symmetric trigonometric Heckman-Opdam polynomials of type $A_1$. We prove that they can be extended to a bounded operators on $\ell^{p(\mathbb{Z})$,} $1<p<\infty$.

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