{
  "id": "1510.02218",
  "version": "v1",
  "published": "2015-10-08T07:58:25.000Z",
  "updated": "2015-10-08T07:58:25.000Z",
  "title": "Spectral properties of matrix-valued discrete Dirac system",
  "authors": [
    "Yelda Aygar",
    "Elgiz Bairamov",
    "Seyhmus Yardımcı"
  ],
  "categories": [
    "math.FA"
  ],
  "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 $[-2,2].$ 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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-08T07:58:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spectral properties",
      "self-adjoint matrix-valued discrete dirac system",
      "weyl compact perturbation theorem",
      "polynomial-type jost solution",
      "simple real eigenvalues"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151002218A"
    }
  }
}