A relationship between the Nehari and the Carathéodory-Toeplitz extension problems

DOI10.1007/BF01306543zbMath0871.47015OpenAlexW2008341846MaRDI QIDQ2563995

Daniel Alpay, Israel Gohberg

Publication date: 1 June 1997

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

Full work available at URL: https://doi.org/10.1007/bf01306543

zbMATH Keywords

fractional transformationsextension problemscoefficient matrix functions

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Inverse scattering problems in quantum theory (81U40) Linear operator methods in interpolation, moment and extension problems (47A57)

Related Items (4)

On three Klein extension problems and some generalizations ⋮ Pairs of selfadjoint operators and their invariants ⋮ Connections between the Carathéodory-Toeplitz and the Nehari extension problems: The discrete scalar case ⋮ A trace formula for canonical differential expressions.

Cites Work

• Hilbert spaces of analytic functions, inverse scattering and operator models. I
• On an extension problem, generalized Fourier analysis, and an entropy formula
• Convolution equations and linear systems
• Classes of linear operators. Vol. II
• Inverse spectral problem for differential operators with rational scattering matrix functions
• An introduction to de Branges spaces of entire functions with applications to differential equations of the Sturm-Liouville type
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