This article contains results on the range of the Radon transform R on the set H of horocycles of a homogeneous tree T. Functions of compact support on H that satisfy two explicit Radon conditions constitute the image under R of functions of finite support on T. Replacing functions on H by distributions, we extend these results to the non-compact case by adding decay criteria.
Characterization of the range of the Radon transform on homogeneous trees / CASADIO TARABUSI, Enrico; J. M., Cohen; F., Colonna. - In: ELECTRONIC RESEARCH ANNOUNCEMENTS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 1079-6762. - ELETTRONICO. - 5:(1999), pp. 11-17. [10.1090/s1079-6762-99-00055-4]
Characterization of the range of the Radon transform on homogeneous trees
CASADIO TARABUSI, Enrico;
1999
Abstract
This article contains results on the range of the Radon transform R on the set H of horocycles of a homogeneous tree T. Functions of compact support on H that satisfy two explicit Radon conditions constitute the image under R of functions of finite support on T. Replacing functions on H by distributions, we extend these results to the non-compact case by adding decay criteria.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
