Asymptotic analysis of non-self-adjoint Hill operators

DOI10.2478/s11533-013-0305-xzbMath1291.34140arXiv1107.2552OpenAlexW2166917292MaRDI QIDQ2440537

Oktay A. Veliev

Publication date: 19 March 2014

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.2552

zbMATH Keywords

asymptotic formulasspectral operatorspectral singularitiesHill operator

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (13)

Spectral expansion series with parenthesis for the nonself-adjoint periodic differential operators ⋮ Essential spectral singularities and the spectral expansion for the Hill operator ⋮ 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 the spectral properties of the Schrödinger operator with a periodic PT-symmetric potential ⋮ Spectral analysis of the Schrödinger operator with a PT-symmetric periodic optical potential ⋮ 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 ⋮ Asymptotically spectral periodic differential operators ⋮ On the asymptotic simplicity of periodic eigenvalues and Titchmarsh's formula ⋮ Basis properties of root functions of a regular fourth order boundary value problem ⋮ On the spectrality and spectral expansion of the non-self-adjoint Mathieu-Hill operator in \(L_2(-\infty, \infty)\) ⋮ On the Riesz basisness of systems composed of root functions of periodic boundary value problems

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