Regularity for free multiplicative convolution on the unit circle
Operator Algebras
2023-05-24 v1 Functional Analysis
Abstract
It is shown that the free multiplicative convolution of two nondegenerate probability measures on the unit circle has no continuous singular part relative to arclength measure. Analogous results have long been known for free additive convolutions on the line and free multiplicative convolution on the positive half-line.
Keywords
Cite
@article{arxiv.2205.07114,
title = {Regularity for free multiplicative convolution on the unit circle},
author = {Serban T. Belinschi and Hari Bercovici and Ching-Wei Ho},
journal= {arXiv preprint arXiv:2205.07114},
year = {2023}
}