Harmonic analysis and Radon transforms on pencils of geodesics.
Harmonic Analysis for Vector Fields on Hyperbolic Spaces.
Inversion formulas for the Dunkl intertwining operator and its dual on spaces of functions and distributions.
Local Hardy spaces on Chébli-Trimèche hypergroups
We investigate the local Hardy spaces on Chébli-Trimèche hypergroups, and establish the equivalence of various characterizations of these in terms of maximal functions and atomic decomposition.
Mesures de Lévy et fonctions de Lévy générales Applications à la décomposition de Lévy-Khintchine
Modèles de Whittaker dute;générés pour des groupes p-adiques.
New uncertainty principles for the continuous Gabor transform and the continuous wavelet transform.
On a recurrence formula for elementary spherical functions on symmetric spaces and its applications to multipliers for the spherical Fourier transform.
On the Hausdorff-Young theorem for commutative hypergroups
We study the Hausdorff-Young transform for a commutative hypergroup K and its dual space K̂ by extending the domain of the Fourier transform so as to encompass all functions in and respectively, where 1 ≤ p ≤ 2. Our main theorem is that those extended transforms are inverse to each other. In contrast to the group case, this is not obvious, since the dual space K̂ is in general not a hypergroup itself.
On the image of a generalized -plane transform on .
On the Multiresolution analysis of abstract Hilbert spaces
On the Range of the Fourier Transform Associated with the Spherical Mean Operator
We characterize the range of some spaces of functions by the Fourier transform associated with the spherical mean operator R and we give a new description of the Schwartz spaces. Next, we prove a Paley-Wiener and a Paley-Wiener-Schawrtz theorems.
On the range of the Fourier transform connected with Riemann-Liouville operator
We characterize the range of some spaces of functions by the Fourier transform associated with the Riemann-Liouville operator and we give a new description of the Schwartz spaces. Next, we prove a Paley-Wiener and a Paley-Wiener-Schwartz theorems.
On the Segal-Shale-Weil Representations and Harmonic Polynomials.
Optimal boundedness of central oscillating multipliers on compact Lie groups
Fefferman-Stein, Wainger and Sjölin proved optimal boundedness for certain oscillating multipliers on . In this article, we prove an analogue of their result on a compact Lie group.
Pull-back properties of moment functions and a generalization of Bochner-Weil' s theorem.
Radon-Transformation auf nilpotenten Lie-Gruppen.
Rapidly decreasing functions on general semisimple groups
Representations of the group of functions taking values in a compact Lie group
Riesz transforms for Dunkl transform
In this paper we obtain the -boundedness of Riesz transforms for the Dunkl transform for all .