Turkish Journal of Mathematics
Abstract
In this paper, the main content is the consideration of the concepts of eigenvalues and spectral singularities of an operator generated by a discrete Dirac system in $\ell_{2}(\mathbb{Z},\mathbb{C}^{2})$ with an interior interaction point. Defining a transfer matrix $ M $ enables us to present a relationship between the $ M_{22} $ component of this matrix and Jost functions of mentioned Dirac operator so that its eigenvalues and spectral properties can be studied. Finally, some special cases are examined where the impulsive condition possesses certain symmetries.
DOI
10.3906/mat-2108-107
Keywords
Impulsive conditions, discrete Dirac systems, eigenvalues, spectral singularities, symmetries
First Page
157
Last Page
166
Recommended Citation
CEBESOY, ŞERİFENUR
(2022)
"Examination of eigenvalues and spectral singularities of a discrete Dirac operator with an interaction point,"
Turkish Journal of Mathematics: Vol. 46:
No.
1, Article 12.
https://doi.org/10.3906/mat-2108-107
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss1/12
