On spectral decompositions corresponding to non-self-adjoint Sturm-Liouville operators
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Publication:1005435
DOI10.1134/S1064562406010042zbMath1155.34364MaRDI QIDQ1005435
Publication date: 9 March 2009
Published in: Doklady Mathematics (Search for Journal in Brave)
General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)
Related Items (13)
Completeness and spectral synthesis of nonselfadjoint one-dimensional perturbations of selfadjoint operators ⋮ Spectral properties of fourth order differential operators with periodic and antiperiodic boundary conditions ⋮ Spectral properties of some regular boundary value problems for fourth order differential operators ⋮ On spectral properties of certain regular boundary value problems for higher-order differential operators ⋮ A Schauder and Riesz basis criterion for non-self-adjoint Schrödinger operators with periodic and antiperiodic boundary conditions ⋮ Riesz basisness of root functions of a Sturm-Liouville operator with conjugate conditions ⋮ On the Riesz basisness of root functions of a Sturm-Liouville operator with conjugate conditions ⋮ Some problems of spectral theory of fourth-order differential operators with regular boundary conditions ⋮ On the basis property of the root functions of some class of non-self-adjoint Sturm-Liouville operators ⋮ Basis properties of root functions of a regular fourth order boundary value problem ⋮ Riesz bases consisting of root functions of 1D Dirac operators ⋮ Spectral asymptotics and basis properties of fourth order differential operators with regular boundary conditions ⋮ Criteria for existence of Riesz bases consisting of root functions of Hill and 1D Dirac operators
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