Spectrality of the Dirac Operator with Complex-Valued Periodic Coefficients
Spectral Theory
2026-03-04 v1
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.
Cite
@article{arxiv.2603.02884,
title = {Spectrality of the Dirac Operator with Complex-Valued Periodic Coefficients},
author = {O. A. Veliev},
journal= {arXiv preprint arXiv:2603.02884},
year = {2026}
}