Spectrality of the Dirac Operator with Complex-Valued Periodic Coefficients

O. A. Veliev

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arXiv · 2603.02884

Spectrality of the Dirac Operator with Complex-Valued Periodic Coefficients

O. A. Veliev

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Abstract

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.

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BibTeX RIS

O. A. Veliev. 2026-03-03. Spectrality of the Dirac Operator with Complex-Valued Periodic Coefficients. https://arxiv.org/abs/2603.02884

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