A quantum remark on biholomorphic mappings on the unit ball
Complex Variables
2024-02-20 v2 Operator Algebras
Abstract
In this note we regard non-commutative probability theory with operator-valued expectation. We show that the moment generating functions of distributions coming from monotone increment processes of unitary random variables yield biholomorphic mappings on certain higher dimensional unit balls.
Keywords
Cite
@article{arxiv.1811.03381,
title = {A quantum remark on biholomorphic mappings on the unit ball},
author = {Sebastian Schleißinger},
journal= {arXiv preprint arXiv:1811.03381},
year = {2024}
}