Multiplicative Monotone Convolution

Details Multiplicative Monotone Convolution Multiplicative Monotone Convolution

2004-06-23

arxiv.org/abs/math/0406488v1

Mathematics

Operator Algebras

18 pages

Scientific paper

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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