Spectrality of the Dirac Operator with Complex-Valued Periodic Coefficients
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908862263590912 |
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| author | Veliev, O. A. |
| author_facet | Veliev, O. A. |
| contents | In this paper, we study the spectrality of the non-self-adjoint Dirac operator L(Q) with a complex-valued periodic matrix potential Q. We establish a condition on the off-diagonal elements of the matrix Q under which L(Q) is an asymptotically spectral operator. Moreover, we derive a condition on Q that ensures the spectrality of this operator. Finally, we consider the spectral expansion in these cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_02884 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Spectrality of the Dirac Operator with Complex-Valued Periodic Coefficients Veliev, O. A. Spectral Theory In this paper, we study the spectrality of the non-self-adjoint Dirac operator L(Q) with a complex-valued periodic matrix potential Q. We establish a condition on the off-diagonal elements of the matrix Q under which L(Q) is an asymptotically spectral operator. Moreover, we derive a condition on Q that ensures the spectrality of this operator. Finally, we consider the spectral expansion in these cases. |
| title | Spectrality of the Dirac Operator with Complex-Valued Periodic Coefficients |
| topic | Spectral Theory |
| url | https://arxiv.org/abs/2603.02884 |