Cauchy-Stieltjes 核族与自由乘法卷积
概率论
2020-04-16 v1
摘要
本文中,我们确定了自由乘法卷积对 Cauchy-Stieltjes 核族的伪方差函数的影响。随后我们利用方差函数的工具建立一些与该类型卷积相关、并涉及自由加法卷积与布尔加法卷积的极限定理。
引用
@article{arxiv.2004.07191,
title = {Cauchy-Stieltjes kernels families and free multiplicative convolution},
author = {Abdelhamid Hassairi and Raouf Fakhfakh},
journal= {arXiv preprint arXiv:2004.07191},
year = {2020}
}
备注
We determine the effect of the free multiplicative convolution on the pseudo-variance function of a Cauchy-Stieltjes kernel family