论文标题

Cauchy-Stieltjes内核家庭和自由乘法卷积

Cauchy-Stieltjes kernels families and free multiplicative convolution

论文作者

Hassairi, Abdelhamid, Fakhfakh, Raouf

论文摘要

在本文中,我们确定了自由乘法卷积对Cauchy-Stieltjes内核家族的伪变化函数的影响。然后,我们使用方差函数的机制来建立与这种类型的卷积相关的一些限制定理,并涉及自由添加卷积和布尔添加卷积。

In this paper, we determine the effect of the free multiplicative convolution on the pseudo-variance function of a Cauchy-Stieltjes kernel family. We then use the machinery of variance functions to establish some limit theorems related to this type of convolution and involving the free additive convolution and the boolean additive convolution.

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