Displaying similar documents to “Multiply self-decomposable measures in generalized convolution algebras”

Multiplicative monotone convolutions

Uwe Franz (2006)

Banach Center Publications

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Recently, Bercovici has introduced multiplicative convolutions based on Muraki's monotone independence and shown that these convolution of probability measures correspond to the composition of some function of their Cauchy transforms. We provide a new proof of this fact based on the combinatorics of moments. We also give a new characterisation of the probability measures that can be embedded into continuous monotone convolution semigroups of probability measures on the unit circle and...