On the Riesz basisness of systems composed of root functions of periodic boundary value problems

DOI10.1155/2015/945049zbMath1470.42012arXiv1407.0216OpenAlexW2065385162WikidataQ59101461 ScholiaQ59101461MaRDI QIDQ2319371

Alp Arslan Kıraç

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.0216

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Completeness of sets of functions in one variable harmonic analysis (42A65)

Related Items (1)

On stability of basis property of root vectors system of the Sturm-Liouville operator with an integral perturbation of conditions in nonstrongly regular Samarskii-Ionkin type problems

Cites Work

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• A Schauder and Riesz basis criterion for non-self-adjoint Schrödinger operators with periodic and antiperiodic boundary conditions
• On the nonself-adjoint ordinary differential operators with periodic boundary conditions
• Convergence of expansions in the root functions of periodic boundary value problems
• On the Riesz basis property of the eigen- and associated functions of periodic and antiperiodic Sturm-Liouville problems
• On the Riesz basis property of the root functions in certain regular boundary value problems
• Criteria for existence of Riesz bases consisting of root functions of Hill and 1D Dirac operators
• On the Riesz basisness of the root functions of the nonself-adjoint Sturm-Liouville operator
• Asymptotic analysis of non-self-adjoint Hill operators
• The form of the spectral functions associated with Sturm‐Liouville problems with continuous spectrum
• Instability zones of periodic 1-dimensional Schrödinger and Dirac operators
• Convergence of spectral decompositions of Hill operators with trigonometric polynomial potentials
• The spectral expansion for a nonself-adjoint Hill operator with a locally integrable potential
• Convergence of spectral decompositions of Hill operators with trigonometric polynomial potentials

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