Spectral theory of difference operators with almost constant coefficients

DOI10.1080/10236190903160681zbMath1225.39023OpenAlexW2031205696MaRDI QIDQ3016319

Horst Behncke, Fredrick Oluoch Nyamwala

Publication date: 15 July 2011

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190903160681

zbMATH Keywords

eigenvaluesdifference operatorsabsolutely continuous spectrumsingular continuous spectrum

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Discrete version of topics in analysis (39A12) Difference operators (39A70) Linear difference operators (47B39)

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Cites Work

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• On Weyl-Titchmarsh theory for singular finite difference Hamiltonian systems
• On Titchmarsh-Weyl \(M(\lambda)\)-functions for linear Hamiltonian system
• Trace class perturbations and the absence of absolutely continuous spectra
• Weyl--Titchmarsh theory for a class of discrete linear Hamiltonian systems
• SPECTRAL THEORY OF HIGHER ORDER DIFFERENTIAL OPERATORS
• Eigenfunctions, deficiency indices and spectra of odd-order differential operators
• The absolutely continuous spectrum of discrete canonical systems
• Spectral Analysis of Higher-Order Differential Operators II: Fourth-Order Equations
• Spectral Analysis of Higher Order Differential Operators I: General Properties of the M -Function
• The spectrum of differential operators of order \(2n\) with almost constant coefficients

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