Weakly infinitely divisible measures on some locally compact Abelian groups

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155736On the torus group, on the group of p-adic integers and on the p-adic solenoid, we give a construction of an arbitrary weakly infinitely divisible probability measure using a random element with values in a product of (possibly infinitely many) subgroups of the real numbers. As a special case of our results, we have a new construction of the Haar measure on the p-adic solenoid.15 pages; added references and corrected typosProbabilityGroup Theory60B15 (Primary); 22B99 (Secondary)Weakly infinitely divisible measures on some locally compact Abelian groupstext