{
  "id": "math/0511685",
  "version": "v1",
  "published": "2005-11-28T15:05:45.000Z",
  "updated": "2005-11-28T15:05:45.000Z",
  "title": "Hypoelliptic Dunkl equations in the space of distributions on $R^d$",
  "authors": [
    "Hatem Mejjaoli"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we define and study the Dunkl convolution product and the Dunkl transform on spaces of distributions on $ \\mathbb{R}^d$. By using the main results obtained, we study the hypoelliptic Dunkl convolution equations in the space of distributions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-11-28T15:05:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C80",
      "43A32",
      "44A35",
      "51F15"
    ],
    "keywords": [
      "hypoelliptic dunkl equations",
      "distributions",
      "hypoelliptic dunkl convolution equations",
      "dunkl convolution product",
      "main results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....11685M"
    }
  }
}