{
  "id": "1702.05285",
  "version": "v1",
  "published": "2017-02-17T10:06:40.000Z",
  "updated": "2017-02-17T10:06:40.000Z",
  "title": "Density results for continuous frames",
  "authors": [
    "Mishko Mitkovski",
    "Aaron Ramirez"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We derive necessary conditions for localization of continuous frames in terms of generalized Beurling densities. As an important application we provide necessary density conditions for sampling and interpolation in a very large class of reproducing kernel Hilbert spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-17T10:06:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "continuous frames",
      "density results",
      "necessary density conditions",
      "reproducing kernel hilbert spaces",
      "large class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}