On the spectral singularities and spectrality of the Hill operator

DOI10.7153/OAM-10-05zbMath1346.34056arXiv1401.6074OpenAlexW2963728212MaRDI QIDQ2807237

Oktay A. Veliev

Publication date: 19 May 2016

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.6074

zbMATH Keywords

spectral expansionspectral singularitiesspectral operatorsHill operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (7)

Spectral expansion series with parenthesis for the nonself-adjoint periodic differential operators ⋮ Essential spectral singularities and the spectral expansion for the Hill operator ⋮ The spectrum of the Hamiltonian with a PT-symmetric periodic optical potential ⋮ 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 ⋮ Asymptotically spectral periodic differential operators ⋮ On the spectrality and spectral expansion of the non-self-adjoint Mathieu-Hill operator in \(L_2(-\infty, \infty)\)

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