Marchenko-Ostrovski mappings for periodic Jacobi matrices

DOI10.1134/S1061920807040115zbMath1194.47032arXiv0710.2833OpenAlexW2106108434MaRDI QIDQ1033744

Anton A. Kutsenko, Evgeny L. Korotyaev

Publication date: 10 November 2009

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.2833

zbMATH Keywords

Lyapunov functionspectrumJacobi matrixMarchenko-Ostrovski mapping

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Difference operators (39A70) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (2)

Resonances for periodic Jacobi operators with finitely supported perturbations ⋮ Borg-type uniqueness theorems for periodic Jacobi operators with matrix-valued coefficients

Cites Work

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• Gaps and bands of one dimensional periodic Schrödinger operators
• Inverse problem for the discrete 1D Schrödinger operator with small periodic potentials
• Gap-length mapping for periodic Jacobi matrices
• The spectrum of Jacobi matrices
• The inverse problem for the Hill operator. A direct approach
• Spectral estimates for periodic Jacobi matrices
• Fibration of the phase space of the periodic Toda lattice
• A CHARACTERIZATION OF THE SPECTRUM OF HILL'S OPERATOR

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