We introduce a p-product of algebraic probability spaces, which is the definition of independence that is natural for the model of noncommutative Brownian motions, described in [10] (for q = 1). Using methods of the conditionally free probability (cf. [4, 5]), we define a related p-convolution of probability measures on ℝ and study its relations with the notion of subordination (cf. [1, 8, 9, 13]).
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc96-0-21,
author = {Rafa\l\ Sa\l apata},
title = {A remark on p-convolution},
journal = {Banach Center Publications},
volume = {95},
year = {2011},
pages = {293-298},
zbl = {1259.46057},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc96-0-21}
}
Rafał Sałapata. A remark on p-convolution. Banach Center Publications, Tome 95 (2011) pp. 293-298. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc96-0-21/