On the properties of the root vector function systems of a \(2m\)th-order Dirac type operator with an integrable potential
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Publication:6148146
DOI10.1134/S00122661230100014OpenAlexW4388934564MaRDI QIDQ6148146
Publication date: 11 January 2024
Published in: Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s00122661230100014
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)
Cites Work
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- On the Riesz basis property of root vectors system for \(2\times 2\) Dirac type operators
- Riesz inequality for systems of root vector functions of the Dirac operator
- Two-sided estimates for root vector functions of the Dirac operator
- Bari-Markus property for Dirac operators
- Completeness and Riesz basis property of systems of eigenfunctions and associated functions of Dirac-type operators with boundary conditions depending on the spectral parameter
- Criteria for existence of Riesz bases consisting of root functions of Hill and 1D Dirac operators
- Componentwise uniform equiconvergence of expansions in root vector functions of the Dirac operator with the trigonometric expansion
- The Riesz basis property with brackets for Dirac systems with summable potentials
- Bessel inequality and the basis property for a \(2m\times 2m\) Dirac type system with an integrable potential
- The Dirac operator with complex-valued summable potential
- On the completeness and Riesz basis property of root subspaces of boundary value problems for first order systems and applications
- On the eigenvalue distribution and a Bessel property criterion for root functions of a differential operator. I
- On the eigenvalue distribution and a Bessel property criterion for root functions of a differential operator. II
- Riesz basis of root vectors of a non-symmetric system of first-order ordinary differential operators and application to inverse eigenvalue problems
- Unconditional convergence of spectral decompositions of 1D Dirac operators with regular boundary conditions
- Bessel property and basicity of the system of root vector-functions of Dirac operator with summable coefficient
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