Multiplicative monotonic convolution

被引：24

作者：

Bercovici, H ^{[1
]}

机构：

[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 2005年 / 49卷 / 03期

关键词：

D O I：

10.1215/ijm/1258138229

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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. Finally, we discuss infinite divisibility in the multiplicative monotonic context.

引用

页码：929 / 951

页数：23

共 7 条

[1] Partially defined semigroups relative to multiplicative free convolution [J].