Nevanlinna–Pick interpolation: Pick matrices have bounded number of negative eigenvalues

DOI10.1090/S0002-9939-03-07096-5zbMath1056.30036OpenAlexW1576308474MaRDI QIDQ4441788

Alexander Kheifets, Leiba Rodman, Vladimir Bolotnikov

Publication date: 7 January 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-03-07096-5

zbMATH Keywords

Pick matricesNevanlinna-Pick interpolation

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Moment problems and interpolation problems in the complex plane (30E05)

Related Items (3)

The Use of Kernel Functions in Solving the Pick Interpolation Problem ⋮ Nevanlinna-Pick meromorphic interpolation: The degenerate case and minimal norm solutions ⋮ Jet functions having indefinite Carathéodory-Pick matrices

Cites Work

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• Interpolation problems of Pick-Nevanlinna and Loewner types for meromorphic matrix functions: Parametrization of the set of all solutions
• Interpolation of rational matrix functions
• Schur functions, operator colligations, and reproducing kernel Pontryagin spaces
• On the Carathéodory-Fejér interpolation problem for generalized Schur functions
• Functions Which are Almost Multipliers of Hilbert Function Spaces
• The Schur algorithm and coefficient characterizations for generalized Schur functions

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