Weakly infinitely divisible measures on some locally compact Abelian groups

dc.creatorBarczy, Matyas
dc.creatorPap, Gyula
dc.date2007-07-15
dc.date2008-02-28
dc.date.accessioned2026-07-07T09:23:26Z
dc.date.available2026-07-07T09:23:26Z
dc.descriptionOn 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.
dc.description15 pages; added references and corrected typos
dc.identifierhttps://arxiv.org/abs/0707.2186
dc.identifierhttp://arxiv.org/abs/0707.2186
dc.identifierLithuanian Mathematical Journal, Vol. 48, No. 1, 2008, 17-29
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155736
dc.subjectProbability
dc.subjectGroup Theory
dc.subject60B15 (Primary); 22B99 (Secondary)
dc.titleWeakly infinitely divisible measures on some locally compact Abelian groups
dc.typetext

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