2 citations · 2 across the 3 of their papers we have counts for
5 papers
Continuity properties of the shearlet transform and the shearlet synthesis operator on the Lizorkin type spaces
Francesca Bartolucci, Stevan Pilipović, Nenad Teofanov
We develop a distributional framework for the shearlet transform and the shearlet synthesis operator $\ma…
The Shearlet Transform and Lizorkin Spaces
Francesca Bartolucci, Stevan Pilipović, Nenad Teofanov
We prove a continuity result for the shearlet transform when restricted to the space of smooth and rapidly decreasing functions with all vanishing moments. We define the dual shear…
Radon Transform: Dual Pairs and Irreducible Representations
Giovanni S. Alberti, Francesca Bartolucci, Filippo De Mari +1
We illustrate the general point of view developed in [SIAM J. Math. Anal., 51(6), 4356-4381] that can be described as a variation of Helgason's theory of dual -homogeneous pairs…
Cone-Adapted Shearlets and Radon Transforms
Francesca Bartolucci, Filippo De Mari, Ernesto De Vito
We show that the cone-adapted shearlet coefficients can be computed by means of the limited angle horizontal and vertical (affine) Radon transforms and the one-dimensional wavelet…
Radon transform intertwines shearlets and wavelets
Francesca Bartolucci, Filippo De Mari, Ernesto De Vito
We prove that the unitary affine Radon transform intertwines the quasi-regular representation of a class of semidirect products, built by shearlet dilation groups and translations,…