Boolean convolution of probability measures on the unit circle
泛函分析
2009-06-13 v2 概率论
摘要
We introduce the boolean convolution for probability measures on the unit circle. Roughly speaking, it describes the distribution of the product of two boolean independent unitary random variables. We find an analogue of the characteristic function and determine all infinitely divisible probability measures on the unit circle for the boolean convolution.
引用
@article{arxiv.math/0403243,
title = {Boolean convolution of probability measures on the unit circle},
author = {Uwe Franz},
journal= {arXiv preprint arXiv:math/0403243},
year = {2009}
}
备注
13 pages, to appear in volume 15 of Seminaires et Congres