Realization of functions on the symmetrized bidisc

DOI10.1016/j.jmaa.2017.04.003zbMath1373.32002arXiv1704.00312OpenAlexW2136991628WikidataQ59887244 ScholiaQ59887244MaRDI QIDQ2396864

N. J. Young, Jim Agler

Publication date: 26 May 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.00312

zbMATH Keywords

analytic functionsNevanlinna-Pick interpolationsymmetrized bidiscHilbert space model

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items (6)

Nonuniqueness of Carathéodory extremal functions on the symmetrized bidisc ⋮ Rational dilation problems associated with constrained algebras ⋮ Holomorphic functions on the symmetrized bidisk - realization, interpolation and extension ⋮ Determining sets for holomorphic functions on the symmetrized bidisk ⋮ Interpolating sequences for the Banach algebras generated by a class of test functions ⋮ Noncommutative rational functions invariant under the action of a finite solvable group

Cites Work

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• The hyperbolic geometry of the symmetrized bidisc
• A Schwarz Lemma for the Symmetrized Bidisc
• Operators having the symmetrized bidisc as a spectral set
• Interpolation in semigroupoid algebras
• Invariant distances and metrics in complex analysis

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