Multiplicative Monotone Convolution

2004/06/23 by Hari Bercovici, Bercovici, Hari · 1 citation
Mathematics · #46L53 #Advanced Mathematical Identities #FOS: Mathematics #Mathematical Analysis and Transform Methods #Mathematical and Theoretical Analysis #Operator Algebras (math.OA) #Probability (math.PR) #math.OA #math.PR #msc:46L53

paper · pdf · doi:10.48550/arxiv.math/0406488

18 pages

arxiv created 2004/06/23 · openalex publication_date 2004/06/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• An Operad of Non-commutative Independences Defined by Trees

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