A remark on $\boldsymbol p$-convolution
Volume 96 / 2011
Banach Center Publications 96 (2011), 293-298
MSC: Primary 46L53; Secondary 46L54.
DOI: 10.4064/bc96-0-21
Abstract
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 $\mathbb{R}$ and study its relations with the notion of subordination (cf. [1, 8, 9, 13]).
