Matteo Monti

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20202026

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math.RT2021

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 $(X, Ξ)$ , where $X = G / K$ is a noncompact symmetric space and $Ξ$ is the space of horocycles of $X$ . We address the unitarization probl…

math.RT2020

Unitarization of the Horocyclic Radon Transform on Homogeneous Trees

Francesca Bartolucci, Filippo De Mari, Matteo Monti

Following previous work in the continuous setup, we construct the unitarization of the horocyclic Radon transform on a homogeneous tree X and we show that it intertwines the quasi…