Dirac operator with a potential of special form and with the periodic boundary conditions

DOI10.1134/S0012266118050038zbMath1402.34088OpenAlexW2805290552WikidataQ129690925 ScholiaQ129690925MaRDI QIDQ1660872

M. Sh. Burlutskaya, Avgoust P. Khromov

Publication date: 16 August 2018

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266118050038

zbMATH Keywords

Riesz basiseigenfunctions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (3)

Solution algorithm of the inverse spectral problem for Dirac operator with a spectral parameter in the boundary condition ⋮ ON THE SPECTRAL ANALYSIS OF A DIFFERENTIAL OPERATOR WITH AN INVOLUTION AND GENERAL BOUNDARY CONDITIONS ⋮ Some properties of functional-differential operators with involution \(\nu(x)=1-x\) and their applications

Cites Work

• Functional differential operators with involution and Dirac operators with periodic boundary conditions
• Basis properties of eigenfunctions of a generalized gasdynamic Frankl problem
• Bessel inequality, Riesz theorem, and unconditional basis property for root vectors of ordinary differential operators
• The Dirac operator with complex-valued summable potential
• Bari–Markus property for Riesz projections of 1D periodic Dirac operators
• The method of similar operators in the spectral analysis of non-self-adjoint Dirac operators with non-smooth potentials
• Instability zones of periodic 1-dimensional Schrödinger and Dirac operators
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