Inverse problems for finite vector-valued Jacobi operators

DOI10.1134/S001626631903002XzbMath1434.34076OpenAlexW2981238757WikidataQ127022612 ScholiaQ127022612MaRDI QIDQ2291259

Evgeny L. Korotyaev

Publication date: 30 January 2020

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s001626631903002x

zbMATH Keywords

inverse problemJacobi matrix

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50) Spectral theory for ordinary differential operators in the complex domain (34M46)

Cites Work

• Weyl-Titchmarsh functions of vector-valued Sturm-Liouville operators on the unit interval
• Parametrization of the isospectral set for the vector-valued Sturm-Liouville problem
• Gap-length mapping for periodic Jacobi matrices
• \(m\)-functions and inverse spectral analysis for finite and semi-infinite Jacobi matrices
• Trace formulas and Borg-type theorems for matrix-valued Jacobi and Dirac finite difference operators
• Borg-type uniqueness theorems for periodic Jacobi operators with matrix-valued coefficients
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