Essential spectral singularities and the spectral expansion for the Hill operator

DOI10.3934/cpaa.2017110OpenAlexW2963293226MaRDI QIDQ2408393

Oktay A. Veliev

Publication date: 12 October 2017

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.04473

zbMATH Keywords

spectral expansionspectral singularitiesSchrodinger operator

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05)

Related Items (5)

Spectral expansion series with parenthesis for the nonself-adjoint periodic differential operators ⋮ Spectral expansion for nonself-adjoint differential operators with periodic matrix coefficients ⋮ 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 \(L_2(-\infty, \infty)\)

Cites Work

• Uniform convergence of the spectral expansion for a differential operator with periodic matrix coefficients
• A criterion for Hill operators to be spectral operators of scalar type
• Spectral analysis of a class of second-order non-self-adjoint differential operators
• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• Asymptotic analysis of non-self-adjoint Hill operators
• Operators commuting with translation by one. II: Differential operators with periodic coefficients in \(L_ p(-\infty,\infty)\)
• Operators commuting with translation by one. III: Perturbation results for periodic differential operators
• On the spectral singularities and spectrality of the Hill operator
• ON THE BASIS PROBLEM OF THE EIGENFUNCTIONS OF AN ORDINARY DIFFERENTIAL OPERATOR
• The spectral expansion for a nonself-adjoint Hill operator with a locally integrable potential
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Essential spectral singularities and the spectral expansion for the Hill operator