Contractive realization theory for the annulus and other intersections of discs on the Riemann sphere

Radomił Baran; Piotr Pikul; Hugo J Woerdeman; Michał Wojtylak

doi:10.48550/arxiv.2504.03236

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Contractive realization theory for the annulus and other intersections of discs on the Riemann sphere

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Contractive realization theory for the annulus and other intersections of discs on the Riemann sphere

Radomił Baran, Piotr Pikul, Hugo J Woerdeman and Michał Wojtylak

04 Apr 2025

DOI: https://doi.org/10.48550/arxiv.2504.03236

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Abstract

Mathematics - Complex Variables

Mathematics - Functional Analysis

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.

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Title: Contractive realization theory for the annulus and other intersections of discs on the Riemann sphere
Creators: Radomił Baran
Piotr Pikul
Hugo J Woerdeman
Michał Wojtylak
Resource Type: Preprint
Language: English
Academic Unit: Mathematics
Other Identifier: 991022047276904721

Contractive realization theory for the annulus and other intersections of discs on the Riemann sphere

Files and links (1)

Abstract

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