Contractive realization theory for the annulus and other intersections of discs on the Riemann sphere
Functional Analysis
2025-04-07 v1 Complex Variables
Abstract
We develop contractive finite dimensional realizations for rational matrix functions of one variable on domains that are not simply connected, such as the annulus. The proof uses multivariable contractive realization results as well as abstract operator algebra techniques. Other results include new bounds for the Bohr radius of the bidisk and the annulus.
Cite
@article{arxiv.2504.03236,
title = {Contractive realization theory for the annulus and other intersections of discs on the Riemann sphere},
author = {Radomił Baran and Piotr Pikul and Hugo J. Woerdeman and Michał Wojtylak},
journal= {arXiv preprint arXiv:2504.03236},
year = {2025}
}
Comments
20 pages, 2 figures