2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/224947We prove that a function on an irreducible compact symmetric space M, which is not a sphere, is determined by its integrals over the shortest closed geodesics in M. We also prove a support theorem for the Funk transform on rank one symmetric spaces which are not spheres.8 pagesDifferential Geometry44A12; 53C35text