Unitarization and Inversion Formulae for the Radon Transform between Dual Pairs

Giovanni S. Alberti, Francesca Bartolucci, Filippo De Mari +1

We consider the Radon transform associated to dual pairs $(X,\Xi )$ in the sense of Helgason, with $X=G/K$ and $\Xi =G/H$, where $G={\mathbb{R}}^d⋊K$, $K$ is a closed subgroup of ${…