On completeness of the root function system of the $(2\times 2)$-Dirac operatorswith non-regular boundary conditions

The paper is concerned with completeness of the system of root functions of the $(2\times2)$-Dirac operator with summable complex-valued potential and non-regular boundary conditions. Sufficient conditions for completeness of the root function system of this operator are found.

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Publication Details

Journal
Izvestiya Mathematics
Published
2025-01-01
DOI
https://doi.org/10.4213/im9589e
Citations
1
Primary Topic
Spectral Theory in Mathematical Physics
Type
article
Field-Weighted Citation Impact
3.69

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article

On completeness of the root function system of the $(2\times 2)$-Dirac operatorswith non-regular boundary conditions

A. S. Makin
1 citations
Izvestiya Mathematics
Spectral Theory in Mathematical Physics
3.69
article

On completeness of the root function system of the $(2\times 2)$-Dirac operatorswith non-regular boundary conditions

A. S. Makin
article en
1 citations

Abstract

The paper is concerned with completeness of the system of root functions of the $(2\times2)$-Dirac operator with summable complex-valued potential and non-regular boundary conditions. Sufficient conditions for completeness of the root function system of this operator are found.

Izvestiya MathematicsVol. 89(3)
Institute of Applied Mathematics and Mechanics (UA)
Ministry of Education and Science of the Russian Federation
Openalex Percentile: Top 10%
Spectral Theory in Mathematical Physics
3.69
DOIOpen Access PDFOpenAlex
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On completeness of the root function system of the $(2\times 2)$-Dirac operatorswith non-regular boundary conditions — A. S. Makin · Izvestiya Mathematics (2025) | TGRS Research Map | TGRS