Marchenko-Ostrovski mappings for periodic Jacobi matrices (original) (raw)

Inverse spectral theory for Jacobi matrices and their almost periodicity

Anand Antony

1994

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Singular Continuous Spectrum for a Class of Almost Periodic Jacobi MATRICES1

Joseph (Yosi) Avron

AMERICAN MATHEMATICAL SOCIETY, 1982

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Singular continuous spectrum for a class of almost periodic Jacobi matrices

J. Avron

Bulletin of the American Mathematical Society, 1982

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The Spectrum of Periodic Jacobi Matrices with Slowly Oscillating Diagonal Terms

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2005

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Periodic Jacobi operators with finitely supported perturbations. arXiv

Evgeny Korotyaev

2016

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Embedded eigenvalues for perturbed periodic Jacobi operators using a geometric approach

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Journal of Difference Equations and Applications, 2018

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Scattering Theory for Jacobi Operators with Quasi-Periodic Background

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Communications in Mathematical Physics, 2006

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Discrete spectrum for complex perturbations of periodic Jacobi matrices

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Journal of Difference Equations and Applications, 2005

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Scattering theory for Jacobi operators with a steplike quasi-periodic background

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Spectral results for perturbed periodic Jacobi matrices using the discrete Levinson technique

Ian Wood

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Limit periodic Jacobi matrices with a prescribed ppp-adic hull and a singular continuous spectrum

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Mathematical Research Letters, 2006

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On stability in the Borg–Hochstadt theorem for periodic Jacobi matrices

Leonid Golinskii

Journal of Spectral Theory

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On the spectrum of Jacobi operators with quasi-periodic algebro-geometric coefficients

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International Mathematics Research Papers, 2005

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On Direct Integral Expansion for Periodic Block-Operator Jacobi Matrices and Applications

Leonid Golinskii

Symmetry, Integrability and Geometry: Methods and Applications

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Periodic Jacobi operator with finitely supported perturbation on the half-lattice

Alexei Iantchenko

Inverse Problems, 2011

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On the Two Spectra Inverse Problem for Semi-infinite Jacobi Matrices

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Mathematical Physics, Analysis and Geometry, 2007

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Spectral analysis of unbounded Jacobi operators with oscillating entries

Jan Janas

Studia Mathematica, 2012

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Marchenko–Ostrovki Mapping for Periodic Zakharov–Shabat Systems

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Journal of Differential Equations, 2001

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Lyapunov functions of periodic matrix-valued Jacobi operators

Evgeny Korotyaev

American Mathematical Society Translations: Series 2, 2008

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Anisotropic Jacobi matrices with absolutely continuous spectrum

anne Boutet de Monvel

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1999

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Preservation of absolutely continuous spectrum of periodic Jacobi operators under perturbations of square--summable variation

Uri Kaluzhny

2009

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Inverse Problem for the Discrete 1D Schrödinger Operator with Small Periodic Potentials

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Communications in Mathematical Physics, 2006

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On the Inverse Scattering Problem for Jacobi Matrices¶with the Spectrum on an Interval, a Finite System¶of Intervals or a Cantor Set of Positive Length

Alexander Volberg

Communications in Mathematical Physics, 2002

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On the Inverse Scattering Problem for Jacobi Matrices¶with the Spectrum on an Interval, a Finite System¶of Intervals or a Cantor Set of Positive Length

Peter Yuditskii

Communications in Mathematical Physics, 2002

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Limit sets for the discrete spectrum of complex Jacobi matrices

Leonid Golinskii

Sbornik: Mathematics, 2005

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Inverse spectral analysis for finite matrix-valued Jacobi operators

Evgeny Korotyaev

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Trace Formulas for Jacobi Operators in Connection with Scattering Theory for Quasi-Periodic Background

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Operator Theory: Advances and Applications, 2007

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Scattering theory for Jacobi operators with general steplike quasi-periodic background

Johanna Michor, Gerald Teschl

2007

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