Multiplicative Monotone Convolution
classification
🧮 math.OA
math.PR
keywords
convolutionmultiplicativemonotonicappropriatecalculationcauchycontextdefine
read the original 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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