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ArticleOriginal scientific text

Title

New Examples of Convolutions and Non-Commutative Central Limit Theorems

Authors 1, 1

Affiliations

  1. Institute of Mathematics, University of Wrocław, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Abstract

A family of transformations on the set of all probability measures on the real line is introduced, which makes it possible to define new examples of convolutions. The associated central limit theorems are studied, and examples of the limit measures, related to the classical, free and boolean convolutions, are shown.

Bibliography

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Banach Center Publications
1998/43/1
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Pages:
95-103
Main language of publication
English
Published
1998
Exact and natural sciences