The semi-classical regime of fractional quantum cosmology has been discussed based on
the Wheeler-DeWitt equation and ADM-Hamiltonian formalism. Fractionality has been …

We prove that the spherical mean value of the Dunkl-type generalized translation operator
τ^ y τ y is a positive L^ p L p-bounded generalized translation operator T^ t T t. As …

These lecture notes were written as an introduction to Dunkl harmonics and Dunkl
transforms, which are extensions of ordinary spherical harmonics and Fourier transforms …

We study weighted (L p, L q)-boundedness properties of Riesz potentials and fractional
maximal functions for the Dunkl transform. In particular, we obtain the weighted Hardy …

Riesz transforms for Dunkl transform Page 1 ANNALES MATHÉMATIQUES BLAISE PASCAL
Bechir Amri & Mohamed Sifi Riesz transforms for Dunkl transform Volume 19, no 1 (2012), p …

In this paper, we extend the one-dimensional Stockwell transform discussed in Stockwell et
al.(IEEE Trans Signal Process 44: 998–1001, 1996) to the Dunkl theory seeting. We obtain …

In this paper we study the Sobolev inequality in the Dunkl setting using two new approaches
which provide a simpler elementary proof of the classical case p= 2, as well as an extension …

Abstract After reviewing the Dunkl Pitt and the Dunkl Beckner inequalities we connect both
the inequalities to show a generalization of uncertainty principles for the Dunkl wavelet …

Abstract We study Riesz and Bessel potentials in the settings of Hankel transform, modified
Hankel transform and Hankel-Dunkl transform. We prove sharp or qualitatively sharp …

In the present paper, we study first the behavior at infinity of the Riesz potential for Dunkl
transform of a non compactly supported function. Second, we give for 1< p ≤ q<+ ∞ 1< p≤ …