Unitarization of the Horocyclic Radon Transform on Homogeneous Trees

2020/02/16 by Francesca Bartolucci, Bartolucci, Francesca, Filippo De Mari +3
Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.2002.06696

19 pages, 3 figures

arxiv created 2021/08/04 · arxiv updated 2021/08/05

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.

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