Weakly infinitely divisible measures on some locally compact Abelian groups
Probability
2008-02-28 v2 Group Theory
Abstract
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.
Cite
@article{arxiv.0707.2186,
title = {Weakly infinitely divisible measures on some locally compact Abelian groups},
author = {Matyas Barczy and Gyula Pap},
journal= {arXiv preprint arXiv:0707.2186},
year = {2008}
}
Comments
15 pages; added references and corrected typos