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math.FA2020★ 12 cited
Inverse problems on low-dimensional manifolds
Giovanni S. Alberti, Ángel Arroyo, Matteo Santacesaria
We consider abstract inverse problems between infinite-dimensional Banach spaces. These inverse problems are typically nonlinear and ill-posed, making the inversion with limited an…
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…