Mathematics – Operator Algebras
Scientific paper
2005-04-18
Mathematics
Operator Algebras
54 pages. (In the revised version, only minor changes were made.)
Scientific paper
The algebra Mul[[B]] of formal multilinear function series over an algebra B and its quotient SymMul[[B]] are introduced, as well as corresponding operations of formal composition. In the setting of Mul[[B]], the unsymmetrized R- and T-transforms of random variables in B-valued noncommutative probability spaces are introduced. These satisfy properties analogous to the usual R- and T-transforms, (the latter being just the reciprocal of the S-transform), but describe all moments of a random variable, not only the symmetric moments. The partially ordered set of noncrossing linked partitions is introduced and is used to prove properties of the unsymmetrized T-transform.
No associations
LandOfFree
Multilinear function series and transforms in free probability theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Multilinear function series and transforms in free probability theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multilinear function series and transforms in free probability theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-138103