New Examples of Convolutions and Non-Commutative Central Limit Theorems

Volume 43 / 1998

Marek Bożejko, Janusz Wysoczański Banach Center Publications 43 (1998), 95-103 DOI: 10.4064/-43-1-95-103

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.

Authors

  • Marek Bożejko
  • Janusz Wysoczański

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