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Spectral Nevanlinna-Pick and Caratheodory-Fejer problems for $n\geq3$

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Publication:2909234
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DOI10.1512/IUMJ.2011.60.4310zbMath1256.30020arXiv1002.1706OpenAlexW2963373185MaRDI QIDQ2909234

Peter Pflug, Pascal J. Thomas, Nikolai Nikolov

Publication date: 30 August 2012

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.1706


zbMATH Keywords

Nevanlinna-Pick problemspectral ballsymmetrized polydiskCarathéodory-Fejér problem


Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Moment problems and interpolation problems in the complex plane (30E05)


Related Items (7)

Lifting maps from the symmetrized polydisc in small dimensions ⋮ Lifting to the spectral ball with interpolation ⋮ The symmetrization map and \(\Gamma\)-contractions ⋮ A refined Schwarz lemma for the spectral Nevanlinna-Pick problem ⋮ On a spectral version of Cartan's theorem ⋮ A counterexample to the \varGamma -interpolation conjecture ⋮ A family of domains associated with \(\mu\)-synthesis







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