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Multiplicative Monotone Convolution

Hari Bercovici
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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. We discuss infinite divisibility in the multiplicative monotonic context as well.

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Hari Bercovici. 2004-06-23. Multiplicative Monotone Convolution. https://arxiv.org/abs/math/0406488

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