Unitarization of the Horocyclic Radon Transform on Homogeneous Trees

Abstract

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 regular representations of the group of isometries of X on the tree itself and on the space of horocycles.

arXiv comment19 pages, 3 figures