111 citations · 483 across the 43 of their papers we have counts for
7 papers · 1 filter
Rapid polynomial approximation in -spaces with Freud weights on the real line
Rui Xie, Marcel de Jeu
The weights form a subclass of Freud weights on the real line. Primarily from a functional analytic angle, we investigate the subspace of $L_2(\math…
Elementary proofs of Paley-Wiener theorems for the Dunkl transform on the real line
Nils Byrial Andersen, Marcel de Jeu
We give an elementary proof of the Paley-Wiener theorem for smooth functions for the Dunkl transforms on the real line, establish a similar theorem for L^2-functions and prove iden…
Paley-Wiener theorems for the Dunkl transform
Marcel de Jeu
We conjecture a geometrical form of the Paley-Wiener theorem for the Dunkl transform and prove three instances thereof, one of which involves a limit transition from Opdam's result…
Some remarks on a proof of geometrical Paley-Wiener theorems for the Dunkl transform
Marcel de Jeu
We argue that a proof of the geometrical form of the Paley-Wiener theorems for the Dunkl transform in the literature is not correct.
Asymptotic analysis for the Dunkl kernel
Margit Rösler, Marcel de Jeu
This paper studies the asymptotic behavior of the integral kernel of the Dunkl transform, the so-called Dunkl kernel, when one of its arguments is fixed and the other tends to infi…
Determinate multidimensional measures, the extended Carleman theorem and quasi-analytic weights
Marcel de Jeu
We prove in a direct fashion that a multidimensional probability measure is determinate if the higher dimensional analogue of Carleman's condition is satisfied. In that case, the p…
Subspaces with equal closure
Marcel de Jeu
We take a unifying and new approach toward polynomial and trigonometric approximation in an arbitrary number of variables, resulting in a precise and general ready-to-use tool that…