16 citations · 18 across the 3 of their papers we have counts for
3 papers · 1 filter
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…
On the Atomic Decomposition of Coorbit Spaces with Non-Integrable Kernel
Stephan Dahlke, Filippo De Mari, Ernesto De Vito +4
This paper ist concerned with recent progress in the context of coorbit space theory. Based on a square integrable group representation, the coorbit theory provides new families of…
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,…