Spectral problems of non-self-adjoint \(q\)-Sturm-Liouville operators in limit-point case

DOI10.2996/kmj/1458651688zbMath1350.39003OpenAlexW2307270276MaRDI QIDQ290985

Bilender P. Allahverdiev

Publication date: 6 June 2016

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kmj/1458651688

zbMATH Keywords

Weyl-Titchmarsh functionspectral representationdissipative singular \(q\)-Sturm-Liouville operatorslimit-point casemaximal dissipative operatorminimal symmetric operatorscattering functionself-adjoint \(q\)-Sturm-Liouville operatorsystem of eigenfunctions

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Dilations, extensions, compressions of linear operators (47A20) Discrete version of topics in analysis (39A12) Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13) (q)-gamma functions, (q)-beta functions and integrals (33D05) Scattering theory of linear operators (47A40) Linear accretive operators, dissipative operators, etc. (47B44)

Related Items (3)

Limit-point criteria for q-Sturm-Liouville equations ⋮ Qualitative spectral analysis of singular \(q\)-Sturm-Liouville operators ⋮ INDICES DEFECT THEORY OF SINGULAR HAHN-STURM-LIOUVILLE OPERATORS

This page was built for publication: Spectral problems of non-self-adjoint \(q\)-Sturm-Liouville operators in limit-point case