Abstract
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.
Citation
Hari Bercovici. "Multiplicative monotonic convolution." Illinois J. Math. 49 (3) 929 - 951, Fall 2005. https://doi.org/10.1215/ijm/1258138229
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