Gap-length mapping for periodic Jacobi matrices

DOI10.1134/S1061920806010067zbMath1140.39315MaRDI QIDQ871754

Evgeny L. Korotyaev

Publication date: 26 March 2007

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

zbMATH Keywords

inverse problema priori estimatesDirichlet eigenvaluesperiodic Jacobi operatorsanalytic isomorphismgap lengths

Mathematics Subject Classification ID

Difference operators (39A70) Linear difference operators (47B39) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (6)

Inverse problem for the discrete 1D Schrödinger operator with small periodic potentials ⋮ Resonances for periodic Jacobi operators with finitely supported perturbations ⋮ Eigenvalues of periodic difference operators on lattice octants ⋮ Inverse problems for finite vector-valued Jacobi operators ⋮ Borg-type uniqueness theorems for periodic Jacobi operators with matrix-valued coefficients ⋮ Marchenko-Ostrovski mappings for periodic Jacobi matrices

Cites Work

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• The spectrum of Jacobi matrices
• Inverse problem and the trace formula for the Hill operator. II
• 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
• Almost periodic Schrödinger operators. III: The absolutely continuous spectrum in one dimension

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