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 disks on the Riemann sphere
Creators
Radomił Baran - Jagiellonian University
Piotr Pikul - Jagiellonian University
Hugo J. Woerdeman (Corresponding Author) - Drexel University