A new technique is developed for studying the convergence of nets of probability measures on a topological group. It is applied to results concerned with the interplay between convergence and convolutions of measures like properties of the convolution mapping, divisibility of measures and convolution semigroups. Our method gives a unified and simple approach to these results.
Publié le : 1976-06-14
Classification:
Quasi-tight and tight nets of measures,
convolution mapping,
root compactness,
divisibility,
convolution operator,
convolution semigroup,
60B15,
22A10
@article{1176996091,
author = {Siebert, Eberhard},
title = {Convergence and Convolutions of Probability Measures on a Topological Group},
journal = {Ann. Probab.},
volume = {4},
number = {6},
year = {1976},
pages = { 433-443},
language = {en},
url = {http://dml.mathdoc.fr/item/1176996091}
}
Siebert, Eberhard. Convergence and Convolutions of Probability Measures on a Topological Group. Ann. Probab., Tome 4 (1976) no. 6, pp. 433-443. http://gdmltest.u-ga.fr/item/1176996091/