Lifting maps from the symmetrized polydisc in small dimensions

DOI10.1007/s11785-015-0495-2zbMath1350.30055arXiv1410.8567OpenAlexW1928080384MaRDI QIDQ2629816

Duc-Anh Tran, Nikolai Nikolov, Pascal J. Thomas

Publication date: 7 July 2016

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.8567

zbMATH Keywords

Lempert functionNevanlinna-Pick problemspectral ballsymmetrized polydisc\(\mu \)-synthesis

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Moment problems and interpolation problems in the complex plane (30E05)

Related Items (5)

A Schwarz lemma for the symmetrized polydisc via estimates on another family of domains ⋮ Finite Blaschke products and the construction of rational \(\Gamma\)-inner functions ⋮ Lifting to the spectral ball with interpolation ⋮ Algebraic properties of Toeplitz operators on the symmetrized polydisk ⋮ A Schwarz lemma for two families of domains and complex geometry

Cites Work

• Green functions of the spectral ball and symmetrized polydisk
• Lifting to the spectral ball with interpolation
• Discontinuity of the Lempert function and the Kobayashi-Royden metric of the spectral ball
• The two-point spectral Nevanlinna--Pick problem.
• Spectral Nevanlinna-Pick and Caratheodory-Fejer problems for $n\geq3$
• Discontinuity of the Lempert function of the spectral ball
• On the spectral Nevanlinna–Pick problem
• Unnamed Item

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