论文标题
操作员无限的无限乘法卷积
Operator-Valued Infinitesimal Multiplicative Convolutions
论文作者
论文摘要
我们考虑运营商价值无限（OVI）自由独立，OVI Boolean独立性和OVI单调独立性的概念。对于OVI独立性的每个概念，我们介绍了相应的无限变换，然后表明转换满足了某些乘法性能。此外，我们将$ t $（$ t $）的概念扩展到无限框架并研究其属性。最后，我们提出了一种使用我们的无限自由乘法公式的应用程序，该应用程序涉及复杂的Wishart矩阵。
We consider the notions of operator-valued infinitesimal (OVI) free independence, OVI Boolean independence, and OVI monotone independence. For each notion of OVI independence, we introduce the corresponding infinitesimal transforms, and then we show that the transforms satisfy certain multiplicative property. Additionally, we extend the concept of $t$-coefficients to the infinitesimal framework and investigate its properties. Finally, we present an application involving complex Wishart matrices utilizing our infinitesimal free multiplicative formula.
