A boundary Nevanlinna-Pick problem for a class of analytic matrix-valued functions in the unit ball

DOI10.1016/S0024-3795(01)00517-1zbMath1005.32009MaRDI QIDQ1603001

Vladimir Bolotnikov

Publication date: 24 June 2002

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

Schur functionsboundary interpolationNevanlinna-Picklinear fractional parameterization

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) Other generalizations of function theory of one complex variable (32A30)

Cites Work

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• Interpolation problems of Pick-Nevanlinna and Loewner types for meromorphic matrix functions
• On a bitangential interpolation problem for contractive-valued functions on the unit ball
• Interpolation problems of Pick-Nevanlinna and Loewner types for meromorphic matrix functions: Parametrization of the set of all solutions
• Interpolation of rational matrix functions
• On degenerate interpolation, entropy and extremal problems for matrix Schur functions
• Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
• Complete Nevanlinna-Pick kernels
• For which reproducing kernel Hilbert spaces is Pick's theorem true!
• Lossless inverse scattering, digital filters, and estimation theory
• Interpolation for multipliers on reproducing kernel Hilbert spaces

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