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math.FA2020
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…
math.FA2020
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…
math.FA2020
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…