A. Makin

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math.SP2025

On a necessary condition of convergence of spectral expansions corresponding to the Dirac operators

Alexander Makin

The paper is concerned with the basis properties of root function systems of the Dirac operator with a complex-valued summable potential. We establish a necessary condition of conv…

math.SP2024

On the spectrum of $2 \times 2$ Dirac operator with degenerate boundary conditions

Alexander Makin

We study the spectral problem for the Dirac operator with degenerate boundary conditions and a complex-valued summable potential. Sufficient conditions are found under which the sp…

math.SP2024

On the completeness of root function system of the $2 \times 2$ Dirac operators with non-regular boundary conditions

Alexander Makin

The paper is concerned with the completeness property of root functions of the $2 \times 2$ Dirac operator with summable complex-valued potential and non-regular boundary conditions…

On a necessary condition of convergence of spectral expansions corresponding to the Dirac operators

On the spectrum of 2×2 Dirac operator with degenerate boundary conditions

On the completeness of root function system of the 2×2 Dirac operators with non-regular boundary conditions

On the spectrum of $2 \times 2$ Dirac operator with degenerate boundary conditions

On the completeness of root function system of the $2 \times 2$ Dirac operators with non-regular boundary conditions