Spectral properties of matrix-valued discrete Dirac system
Functional Analysis
2015-10-09 v1
Abstract
In this paper, we find a polynomial-type Jost solution of a self-adjoint matrix-valued discrete Dirac system. Then we investigate analytical properties and asymptotic behavior of this Jost solution. Using the Weyl compact perturbation theorem, we prove that matrix-valued discrete Dirac system has continuous spectrum filling the segment Finally, we examine the properties of the eigenvalues of this Dirac system and we prove that it has a finite number of simple real eigenvalues.
Keywords
Cite
@article{arxiv.1510.02218,
title = {Spectral properties of matrix-valued discrete Dirac system},
author = {Yelda Aygar and Elgiz Bairamov and Seyhmus Yardımcı},
journal= {arXiv preprint arXiv:1510.02218},
year = {2015}
}