{
  "id": "1808.06427",
  "version": "v1",
  "published": "2018-08-20T12:46:53.000Z",
  "updated": "2018-08-20T12:46:53.000Z",
  "title": "Tensor products for Gelfand-Shilov and Pilipovi{ć} distribution spaces",
  "authors": [
    "Joachim Toft"
  ],
  "comment": "18 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We show basic properties on tensor products for Gelfand-Shilov distributions and Pilipovi{\\'c} distributions. This also includes the Fubbini's property of such tensor products. We also apply the Fubbini property to deduce some properties for short-time Fourier transforms of Gelfand-Shilov and Pilipovi{\\'c} distributions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-20T12:46:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tensor products",
      "distribution spaces",
      "short-time fourier transforms",
      "gelfand-shilov distributions",
      "fubbinis property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}