English

Unitarization of the Horocyclic Radon Transform on Homogeneous Trees

Representation Theory 2021-08-05 v3

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.

Keywords

Cite

@article{arxiv.2002.06696,
  title  = {Unitarization of the Horocyclic Radon Transform on Homogeneous Trees},
  author = {Francesca Bartolucci and Filippo De Mari and Matteo Monti},
  journal= {arXiv preprint arXiv:2002.06696},
  year   = {2021}
}

Comments

19 pages, 3 figures