Unitarization of the Horocyclic Radon Transform on Symmetric Spaces

Francesca Bartolucci, Filippo De Mari, Matteo Monti

We consider the Radon transform for a dual pair $(X,\Xi )$, where $X=G/K$ is a noncompact symmetric space and $\Xi$ is the space of horocycles of $X$. We address the unitarization probl…