A note on the spectral singularities of non-selfadjoint matrix-valued difference operators

DOI10.1016/j.cam.2010.04.017zbMath1194.47033OpenAlexW1967133255MaRDI QIDQ984911

Şeyhmus Yardımcı

Publication date: 20 July 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.04.017

zbMATH Keywords

difference equationsJost solutionsspectral singularityblock Jacobi matrices

Mathematics Subject Classification ID

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

Related Items

Extensions of the matrix-valued q−Sturm–Liouville operators ⋮ Principal Vectors of Matrix-Valued Difference Operators

Cites Work

• Spectrum of a discrete Sturm-Liouville operator with matrix coefficients
• On the existence of positive solutions of higher order difference equations
• Boundary-value uniqueness theorems for analytic functions
• Difference equations of second order with spectral singularities
• Spectral analysis of \(q\)-difference equations with spectral singularities
• Trace formulas and Borg-type theorems for matrix-valued Jacobi and Dirac finite difference operators
• Investigation of the spectrum and the expansion in eigenfunctions of a non-selfadjoint differential operator of the second order on a semi-axis
• Weyl–Titchmarsh $M$-Function Asymptotics, Local Uniqueness Results, Trace Formulas, and Borg-type Theorems for Dirac Operators
• Spectrum and spectral expansion for the non-selfadjoint discrete Dirac operators
• Spectral properties of non-selfadjoint difference operators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item