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The horocyclic Radon transform on non-homogeneous trees
Authors:Enrico Casadio Tarabusi  Joel M Cohen  Massimo A Picardello
Institution:(1) Dipartimento di Matematica, Università di Trento, 38050 Povo (Trento), Italy;(2) Department of Mathematics, University of Maryland, 20742 College Park, Maryland, USA;(3) Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, 00133 Roma, Italy
Abstract:This paper studies horocyles on trees and the corresponding Radon transformation. It is seen that a function can be reconstructed from the induced values on the horocycles. A formula is produced for the adjoint transformation and for the inverse. Research partially supported by the Consiglio Nazionale delle Ricerche and the Ministero dell’Università e della Ricerca Scientifica e Tecnologica.
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