Spectral problems of nonself-adjoint singular discrete Sturm-Liouville operators

DOI10.1515/ms-2015-0196zbMath1399.47101OpenAlexW2548914360MaRDI QIDQ2836169

Bilender P. Allahverdiev

Publication date: 7 December 2016

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2015-0196

zbMATH Keywords

scattering matrixfunctional modelself-adjoint dilationcompleteness of root functionsmaximal dissipative and self-adjoint extensionssymmetric Sturm-Liouville operator

Mathematics Subject Classification ID

Dilations, extensions, compressions of linear operators (47A20) Linear difference operators (47B39) Canonical models for contractions and nonselfadjoint linear operators (47A45) Scattering theory of linear operators (47A40) Linear accretive operators, dissipative operators, etc. (47B44)

Related Items

Dissipative operator and its Cayley transform

Cites Work

• Boundary conditions at infinity for difference equations of limit-circle type
• Absolute continuity of a vector-valued measure
• The limit circle and limit point criteria for second-order linear difference equations
• Scattering theory for open quantum systems with finite rank coupling
• Dissipative Second-Order Difference Operators with General Boundary Conditions