Nevanlinna-Pick meromorphic interpolation: The degenerate case and minimal norm solutions

DOI10.1016/J.JMAA.2008.12.011zbMath1168.30019OpenAlexW2048157076MaRDI QIDQ1018149

Vladimir Bolotnikov

Publication date: 13 May 2009

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.12.011

zbMATH Keywords

eigenvaluesNevanlinna-Pick interpolation problemBlaschke productsSchur classsaturated matrixSchwarz-Pick matrices

Mathematics Subject Classification ID

Moment problems and interpolation problems in the complex plane (30E05)

Related Items (3)

The Use of Kernel Functions in Solving the Pick Interpolation Problem ⋮ The Nevanlinna-Pick problem on the closed unit disk: minimal norm rational solutions of low degree ⋮ Multi-point degenerate interpolation problem for generalized Schur functions: description of all solutions

Cites Work

• Nevanlinna-Pick interpolation: The degenerated case
• On negative inertia of Pick matrices associated with generalized Schur functions
• Interpolation problems of Pick-Nevanlinna and Loewner types for meromorphic matrix functions: Parametrization of the set of all solutions
• Interpolation of rational matrix functions
• The Krein formula for generalized resolvents in degenerated inner product spaces
• Nevanlinna-Pick interpolation with boundary data
• On the Carathéodory-Fejér interpolation problem for generalized Schur functions
• A multi-point degenerate interpolation problem for generalized Schur functions
• Nevanlinna–Pick interpolation: Pick matrices have bounded number of negative eigenvalues
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