{
  "id": "1103.5845",
  "version": "v2",
  "published": "2011-03-30T08:06:40.000Z",
  "updated": "2011-10-12T10:25:31.000Z",
  "title": "Manifold-valued generalized functions in full Colombeau spaces",
  "authors": [
    "Michael Kunzinger",
    "Eduard Nigsch"
  ],
  "comment": "18 pages; fixed typos and updated introduction",
  "journal": "Comm. Math. Univ. Carolinae 52 (4) (2011) 519-534",
  "categories": [
    "math.FA"
  ],
  "abstract": "We introduce the notion of generalized function taking values in a smooth manifold into the setting of full Colombeau algebras. After deriving a number of characterization results we also introduce a corresponding concept of generalized vector bundle homomorphisms and, based on this, provide a definition of tangent map for such generalized functions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-10-12T10:25:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46F30",
      "46T30",
      "26E15"
    ],
    "keywords": [
      "full colombeau spaces",
      "manifold-valued generalized functions",
      "full colombeau algebras",
      "generalized vector bundle homomorphisms",
      "smooth manifold"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.5845K"
    }
  }
}