On the properties of the systems of root vector functions of Dirac-type operator with summable potential

Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Linear boundary value problems for ordinary differential equations (34B05)

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
Inverse eigenvalue problem for a class of Dirac operators with discontinuous coefficient
On the completeness of root subspaces of boundary value problems for first order systems of ordinary differential equations
Theorem of completeness for a Dirac-type operator with generalized \(\lambda \)-depending boundary conditions
Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
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Componentwise uniform equiconvergence of expansions in root vector functions of the Dirac operator with the trigonometric expansion
Absolute and uniform convergence of expansions in the root vector functions of the Dirac operator
Stability of spectral characteristics of boundary value problems for \(2 \times 2\) Dirac type systems: applications to the damped string
On the Riesz basis property of the root vector system for Dirac-type \(2\times 2\) systems
The Dirac operator with complex-valued summable potential
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
An algorithm for reconstructing the Dirac operator with a spectral parameter in the boundary condition
Riesz basis of root vectors of a non-symmetric system of first-order ordinary differential operators and application to inverse eigenvalue problems
Bari–Markus property for Riesz projections of 1D periodic Dirac operators
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
Criterion of Bari basis property for 2 × 2 Dirac‐type operators with strictly regular boundary conditions
On convergence of spectral expansions of Dirac operators with regular boundary conditions

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