On stability in the Borg–Hochstadt theorem for periodic Jacobi matrices (original) (raw)

The Spectrum of Periodic Jacobi Matrices with Slowly Oscillating Diagonal Terms

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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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Eigenvalues for Perturbed Periodic Jacobi Matrices by the Wigner-von Neumann Approach

Ian Wood

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

Ian Wood

Studia Mathematica, 2018

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Limit periodic Jacobi matrices with a singular continuous spectrum and the renormalization of periodic matrices

Alexander Volberg

2005

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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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Marchenko-Ostrovski mappings for periodic Jacobi matrices

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Russian Journal of Mathematical Physics, 2007

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Borg-type uniqueness theorems for periodic Jacobi operators with matrix-valued coefficients

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Proceedings of the American Mathematical Society, 2009

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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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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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Limit sets for the discrete spectrum of complex Jacobi matrices

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Sbornik: Mathematics, 2005

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

Peter Yuditskii, Alexander Volberg

Mathematical Research Letters, 2006

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Eigenvalue bounds in the gaps of Schrödinger operators and Jacobi matrices

Dirk Hundertmark

Journal of Mathematical Analysis and Applications, 2008

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Inverse spectral theory for Jacobi matrices and their almost periodicity

Anand Antony

1994

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A Note on the Eigenvalues for Periodic Three-Dimensional Jacobi-Perron Algorithms

Fritz Schweiger

Sitzungsberichte und Anzeiger der mathematisch-naturwissenschaftlichen Klasse, 2010

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Spectral properties of Jacobi matrices by asymptotic analysis

Jan Janas

Journal of Approximation Theory, 2003

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Perturbation of eigenvalues for periodic matrix pairs via the Bauer–Fike theorems

Eric Chu

Linear Algebra and its Applications, 2004

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Relative oscillation theory for Jacobi matrices

Kerstin Ammann

Arxiv preprint arXiv:0810.5648, 2008

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On the discrete spectrum of complex banded matrices

Leonid Golinskii

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On location of discrete spectrum for complex Jacobi matrices

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2004

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doi:10.1155/2009/934905 Research Article On the Differential Operators with Periodic Matrix Coefficients

Oktay Veliev

2015

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The asymptotic properties of the spectrum of nonsymmetrically perturbed Jacobi matrix sequences

L. Golinskii, stefano serra capizzano

Journal of Approximation Theory, 2007

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Almost periodic Jacobi matrices associated with Julia sets for polynomials

Michael Barnsley

Communications in Mathematical Physics, 1985

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Resonances for periodic Jacobi operators with finitely supported perturbations

Alexei Iantchenko

Journal of Mathematical Analysis and Applications, 2012

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On stability zones for discrete-time periodic linear Hamiltonian systems

Vladimir B RASVAN

Advances in Difference Equations, 2006

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Periodic Jacobi operators with finitely supported perturbations. arXiv

Evgeny Korotyaev

2016

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On the Point Spectrum of Some Jacobi Matrices

Jan Janas

Journal of Operator Theory, 1998

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The Lyapunov function for Schrödinger operators with a periodic matrix potential

Evgeny Korotyaev

Journal of Functional Analysis, 2006

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Discrete Spectrum of the Jacobi Matrix Related to Recurrence Relations with Periodic Coefficients

Eugene Damaskinsky

Journal of Mathematical Sciences, 2016

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Asymptotics of the discrete spectrum for complex Jacobi matrices

Maria Malejki

Opuscula Mathematica, 2014

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Unbounded Jacobi Matrices with a Few Gaps in the Essential Spectrum: Constructive Examples

anne Boutet de Monvel

Integral Equations and Operator Theory, 2011

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Spectral estimates for matrix-valued periodic Dirac operators

Evgeny Korotyaev

Asymptotic Analysis, 2008

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The Lyapunov function for Schrödinger operators with a periodic 2x2 matrix potential

Evgeny Korotyaev

arXiv (Cornell University), 2005

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