On the asymptotic simplicity of periodic eigenvalues and Titchmarsh's formula

DOI10.1016/J.JMAA.2014.12.045zbMath1315.34092arXiv1407.4994OpenAlexW2963659516MaRDI QIDQ486576

Alp Arslan Kıraç

Publication date: 16 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.4994

zbMATH Keywords

spectral gapsperiodic eigenvaluessimple eigenvalues

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Cites Work

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• On the Riesz basis property of the eigen- and associated functions of periodic and antiperiodic Sturm-Liouville problems
• Eigenvalue and eigenfunction asymptotics for regular Sturm-Liouville problems
• On the Riesz basisness of the root functions of the nonself-adjoint Sturm-Liouville operator
• Asymptotic analysis of non-self-adjoint Hill operators
• Titchmarsh's asymptotic formula for periodic eigenvalues and an extension to the \(p\)-Laplacian
• Asymptotic estimates for the Sturm-Liouville spectrum
• The form of the spectral functions associated with Sturm‐Liouville problems with continuous spectrum
• On the nonself-adjoint differential operators with the quasiperiodic boundary conditions
• The spectral expansion for a nonself-adjoint Hill operator with a locally integrable potential

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