{
  "id": "1701.08424",
  "version": "v1",
  "published": "2017-01-29T20:00:39.000Z",
  "updated": "2017-01-29T20:00:39.000Z",
  "title": "Boundary Control method and De Branges spaces. Schrödinger equation, Dirac system and Discrete Schrödinger operator",
  "authors": [
    "Alexander S. Mikhaylov",
    "Victor S. Mikhaylov"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In the framework of the application of the Boundary Control method to solving the inverse dynamical problems for the one-dimensional Schr\\\"odinger and Dirac operators on the half-line and semi-infinite discrete Schr\\\"odinger operator, we establish the connections with the method of De Branges: for each of the system we construct the De Branges space and give a natural dynamical interpretation of all its ingredients: the set of function the De Brange space consists of, the scalar product, the reproducing kernel.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-29T20:00:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "boundary control method",
      "discrete schrödinger operator",
      "branges space",
      "dirac system",
      "schrödinger equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}