Singular integrals on the complex affine group
Some restriction theorems for the Heisenberg group
Sonine transform associated to the Dunkl kernel on the real line.
Spherical functions are Fourier transforms of -functions
Sur certains opérateurs différentiels invariants du groupe hyperbolique
The generalized almost periodic part of an ergodic function
The Plancherel theorem for general semisimple groups
The Poisson Transform for Split Reductive Symmetric Spaces.
Three results in Dunkl analysis
We first establish a geometric Paley-Wiener theorem for the Dunkl transform in the crystallographic case. Next we obtain an optimal bound for the norm of Dunkl translations in dimension 1. Finally, we describe more precisely the support of the distribution associated to Dunkl translations in higher dimension.
Transformation de Fourier et majoration de sommes exponentielles
Two-weighted -inequalities for singular integral operators on Heisenberg groups.
Uncertainty principles for the Weinstein transform
The Weinstein transform satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization and a variant of Cowling-Price theorem, Miyachi's theorem, Beurling's theorem, and Donoho-Stark's uncertainty principle are obtained for the Weinstein transform.
Variational Framework for Assessment of the Left Ventricle Motion
Impairment of left ventricular contractility due to cardiovascular diseases is reflected in left ventricle (LV) motion patterns. An abnormal change of torsion or long axis shortening LV values can help with the diagnosis and follow-up of LV dysfunction. Tagged Magnetic Resonance (TMR) is a widely spread medical imaging modality that allows estimation of the myocardial tissue local deformation. In this work, we introduce a novel variational framework for extracting the left ventricle dynamics from...
Weak type (1,1) multipliers on LCA groups
In [ABB] Asmar, Berkson and Bourgain prove that for a sequence of weak type (1, 1) multipliers in and a function the weak type (1,1) constant of the maximal operator associated with is controlled by that of the maximal operator associated with . In [ABG] this theorem is extended to LCA groups with an extra hypothesis: the multipliers must be continuous. In this paper we prove a more general version of this last result without assuming the continuity of the multipliers. The proof arises...
Whittaker transforms on real-rank one Lie groups
О преобразовании Фурье мажорируемых отображений.
Об абсолютной сходимости интеграла Фурье на плоскости.
Об одном свойстве интеграла Кириллова