{
  "id": "1907.01147",
  "version": "v1",
  "published": "2019-07-02T03:35:59.000Z",
  "updated": "2019-07-02T03:35:59.000Z",
  "title": "Localization of Fréchet frames and expansion of generalized functions",
  "authors": [
    "Stevan Pilipović",
    "Diana T. Stoeva"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Matrix type operators with the off-diagonal decay of polynomial or sub-exponential types are revisited with weaker assumptions concerning row or column estimates, still giving the continuity results for the frame type operators. Such results are extended from Banach to Fr\\'{e}chet spaces. Moreover, the localization of Fr\\'{e}chet frames is used for the frame expansions of tempered distributions and a class of Beurling ultradistributions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-02T03:35:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C15",
      "46A13",
      "46B15",
      "46F05"
    ],
    "keywords": [
      "fréchet frames",
      "generalized functions",
      "localization",
      "matrix type operators",
      "frame type operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}