On regularity for measures in multiplicative free convolution semigroups

Details On regularity for measures in multiplicative free convolution semigroups On regularity for measures in multiplicative free convolution semigroups

2011-12-13

arxiv.org/abs/1112.2783v1

Mathematics

Functional Analysis

comments are welcome

Scientific paper

Given a probability measure $\mu$ on the real line, there exists a semigroup $\mu_t$ with real parameter $t>1$ which interpolates the discrete semigroup of measures $\mu_n$ obtained by iterating its free convolution. It was shown in \cite{[BB2004]} that it is impossible that $\mu_t$ has no mass in an interval whose endpoints are atoms. We extend this result to semigroups related to multiplicative free convolution. The proofs use subordination results.

Affiliated with

Also associated with

No associations

Rating

On regularity for measures in multiplicative free convolution semigroups 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 On regularity for measures in multiplicative free convolution semigroups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On regularity for measures in multiplicative free convolution semigroups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-485721