The two-point spectral Nevanlinna--Pick problem.

DOI10.1007/BF01192826zbMath1054.47504OpenAlexW1979416676MaRDI QIDQ1587850

Jim Agler, N. J. Young

Publication date: 2000

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01192826

zbMATH Keywords

spectral problemNevanlinna--Pick problem

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05)

Related Items (16)

Characterizations of symmetrized polydisc ⋮ Dilation, functional model and a complete unitary invariant for C.0Γn-contractions ⋮ The hyperbolic geometry of the symmetrized bidisc ⋮ Lifting maps from the symmetrized polydisc in small dimensions ⋮ A Schwarz lemma for the symmetrized polydisc via estimates on another family of domains ⋮ Lifting to the spectral ball with interpolation ⋮ Dilations of \(\varGamma\)-contractions by solving operator equations ⋮ The Friedrichs operator and circular domains ⋮ A Schwarz lemma for a domain related to \(\mu\)-synthesis ⋮ Discontinuity of the Lempert function of the spectral ball ⋮ Separate continuity of the Lempert function of the spectral ball ⋮ The two-by-two spectral Nevanlinna-Pick problem ⋮ The 3-point spectral Pick interpolation problem and an application to holomorphic correspondences ⋮ Characterizations of the symmetrized polydisc via another family of domains ⋮ Some Analysable Instances of μ-synthesis ⋮ A family of domains associated with \(\mu\)-synthesis

Uses Software

• Matlab

Cites Work

• A commutant lifting theorem for a domain in \(\mathbb{C}^2\) and spectral interpolation
• A Schwarz Lemma for the Symmetrized Bidisc
• A generalization of the zero location theorem of Schur and Cohn
• A Spectral Commutant Lifting Theorem
• Unnamed Item

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