Connections between the Carathéodory-Toeplitz and the Nehari extension problems: The discrete scalar case

DOI10.1007/BF01192420zbMath0971.47009OpenAlexW2026740955MaRDI QIDQ1580917

Daniel Alpay, Israel Gohberg

Publication date: 18 October 2001

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

Full work available at URL: https://doi.org/10.1007/bf01192420

zbMATH Keywords

Wiener-Hopf factorizationWiener algebraextension problemsCarathéodory-Toeplitz problemsNehary extension problems

Mathematics Subject Classification ID

Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Inverse scattering problems in quantum theory (81U40) Linear operator methods in interpolation, moment and extension problems (47A57) Convolution, factorization for one variable harmonic analysis (42A85) Fourier series and coefficients in several variables (42B05) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (1)

A Connection between Szegö and Nehari Sequences in the Matrix-valued Case

Cites Work

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• Szegö-Kac-Achiezer formulas in terms of realizations of the symbol
• Classes of linear operators. Vol. II
• Inverse spectral problems for difference operators with rational scattering matrix function
• Infinite analogues of block Toeplitz matrices and related orthogonal functions
• A relationship between the Nehari and the Carathéodory-Toeplitz extension problems

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