{
  "id": "math/0511297",
  "version": "v2",
  "published": "2005-11-11T12:25:30.000Z",
  "updated": "2006-01-09T10:21:17.000Z",
  "title": "Microlocal analysis in the dual of a Colombeau algebra: generalized wave front sets and noncharacteristic regularity",
  "authors": [
    "Claudia Garetto"
  ],
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "We introduce different notions of wave front set for the functionals in the dual of the Colombeau algebra $\\Gc(\\Om)$ providing a way to measure the $\\G$ and the $\\Ginf$- regularity in $\\LL(\\Gc(\\Om),\\wt{\\C})$. For the smaller family of functionals having a ``basic structure'' we obtain a Fourier transform-characterization for this type of generalized wave front sets and results of noncharacteristic $\\G$ and $\\Ginf$-regularity.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-01-09T10:21:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35S99",
      "13J99",
      "46F30",
      "46A20"
    ],
    "keywords": [
      "generalized wave front sets",
      "colombeau algebra",
      "microlocal analysis",
      "noncharacteristic regularity",
      "basic structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....11297G"
    }
  }
}