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

Alexander Makin

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

Spectral Theory 2024-01-05 v1

Authors: Alexander Makin

Abstract

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. Sufficient conditions for the completeness of the root function system of the operator under consideration are established.

Keywords

Dirac operator root functions completeness non-regular boundary conditions summable potential

Cite

@article{arxiv.2401.02232,
  title  = {On the completeness of root function system of the $2\times 2$ Dirac operators with non-regular boundary conditions},
  author = {Alexander Makin},
  journal= {arXiv preprint arXiv:2401.02232},
  year   = {2024}
}

Comments

11 pages. arXiv admin note: text overlap with arXiv:2312.15933 by other authors

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