Weakly infinitely divisible measures on some locally compact Abelian groups

Details Weakly infinitely divisible measures on some locally compact Abelian groups Weakly infinitely divisible measures on some locally compact Abelian groups

2007-07-15

arxiv.org/abs/0707.2186v2

Lithuanian Mathematical Journal, Vol. 48, No. 1, 2008, 17-29

Mathematics

Probability

15 pages; added references and corrected typos

Scientific paper

On 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.

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