Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896610 | Journal of Functional Analysis | 2018 | 41 Pages |
Abstract
In this paper we study some analytic properties of bi-free additive convolution, both scalar- and operator-valued. We show that using properties of Voiculescu's subordination functions associated to free additive convolution of operator-valued distributions, simpler formulas for bi-free convolutions can be derived. We use these formulas in order to prove several results about atoms of bi-free additive convolutions.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
S.T. Belinschi, H. Bercovici, Y. Gu, P. Skoufranis,