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.
@article{bwmeta1.element.bwnjournal-article-bcpv43i1p95bwm,
author = {Bo\.zejko, Marek and Wysocza\'nski, Janusz},
title = {New Examples of Convolutions and Non-Commutative Central Limit Theorems},
journal = {Banach Center Publications},
volume = {43},
year = {1998},
pages = {95-103},
zbl = {0936.46050},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv43i1p95bwm}
}
Bożejko, Marek; Wysoczański, Janusz. New Examples of Convolutions and Non-Commutative Central Limit Theorems. Banach Center Publications, Tome 43 (1998) pp. 95-103. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv43i1p95bwm/
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