{
  "id": "1412.3587",
  "version": "v1",
  "published": "2014-12-11T09:54:12.000Z",
  "updated": "2014-12-11T09:54:12.000Z",
  "title": "Gabor systems and almost periodic functions",
  "authors": [
    "Paolo Boggiatto",
    "Carmen Fernández",
    "Antonio Galbis"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We give a construction of Gabor type frames for suitable separable subspaces of the non-separable Hilbert spaces $AP_2({\\mathbb R})$ of almost periodic functions of one variable. Furthermore we determine a non-countable generalized frame for the whole space $AP_2({\\mathbb R}).$ We show furthermore that Bessel-type estimates hold for the $AP$ norm with respect to a countable Gabor system using suitable almost periodic norms of sequencies.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-11T09:54:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C40",
      "42C15",
      "42A75"
    ],
    "keywords": [
      "periodic functions",
      "gabor type frames",
      "bessel-type estimates hold",
      "periodic norms",
      "countable gabor system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.3587B"
    }
  }
}