{
  "id": "2109.14448",
  "version": "v2",
  "published": "2021-09-29T14:27:51.000Z",
  "updated": "2022-01-25T13:29:54.000Z",
  "title": "Projective descriptions of spaces of functions and distributions",
  "authors": [
    "Christian Bargetz",
    "Eduard A. Nigsch",
    "Norbert Ortner"
  ],
  "comment": "26 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We present projective descriptions of classical spaces of functions and distributions. More precisely, we provide descriptions of these spaces by semi-norms which are defined by a combination of classical norms and multiplication or convolution with certain functions. These seminorms are simpler than the ones given by a supremum over bounded or compact sets.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-01-25T13:29:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46F05",
      "46E10",
      "46A13",
      "46E35",
      "46A50",
      "46B50"
    ],
    "keywords": [
      "projective descriptions",
      "distributions",
      "compact sets",
      "semi-norms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}