Dilations, models and spectral problems of non-self-adjoint Sturm-Liouville operators

DOI10.18514/MMN.2021.2007zbMath1483.47043MaRDI QIDQ4997013

Bilender P. Allahverdiev

Publication date: 25 June 2021

Published in: Miskolc Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

characteristic functionscattering matrixfunctional modelself-adjoint dilationmaximal dissipative operatorsymmetric Sturm-Liouville operatorcompleteness of the root functions

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenvalue problems for linear operators (47A75) General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Dilations, extensions, compressions of linear operators (47A20) Canonical models for contractions and nonselfadjoint linear operators (47A45) Scattering theory of linear operators (47A40) Linear accretive operators, dissipative operators, etc. (47B44) Scattering theory, inverse scattering involving ordinary differential operators (34L25) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Nonselfadjoint operators (47B28)

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