Multiplicative Monotone Convolution
算子代数
2007-05-23 v1 概率论
摘要
We show that the monotonic independence introduced by Muraki can also be used to define a multiplicative convolution. We also find a method for the calculation of this convolution based on an appropriate form of the Cauchy transform. We discuss infinite divisibility in the multiplicative monotonic context as well.
引用
@article{arxiv.math/0406488,
title = {Multiplicative Monotone Convolution},
author = {Hari Bercovici},
journal= {arXiv preprint arXiv:math/0406488},
year = {2007}
}
备注
18 pages