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The two-by-two spectral Nevanlinna-Pick problem

Lookup NU author(s): Professor Jim Agler

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Abstract

We give a criterion for the existence of an analytic 2 × 2 matrix-valued function on the disc satisfying a finite set of interpolation conditions and having spectral radius bounded by 1. We also give a realization theorem for analytic functions from the disc to the symmetrised bidisc.

Publication metadata

Author(s): Agler J, Young NJ

Publication type: Article

Publication status: Published

Journal: Transactions of the American Mathematical Society

Year: 2004

Volume: 356

Issue: 2

Pages: 573-585

Print publication date: 01/02/2004

ISSN (print): 0002-9947

ISSN (electronic): 1088-6850

Publisher: American Mathematical Society

URL: http://dx.doi.org/10.1090/S0002-9947-03-03083-6

DOI: 10.1090/S0002-9947-03-03083-6

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