{
  "id": "2011.03961",
  "version": "v1",
  "published": "2020-11-08T12:02:18.000Z",
  "updated": "2020-11-08T12:02:18.000Z",
  "title": "Multipliers on $\\mathcal{S}_ω(\\mathbb{R}^N)$",
  "authors": [
    "Angela A. Albanese",
    "Claudio Mele"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "The aim of this paper is to introduce and to study the space $\\mathcal{O}_{M,\\omega}(\\mathbb{R}^N)$ of the multipliers of the space $\\mathcal{S}_{\\omega}(\\mathbb{R}^N)$ of the $\\omega$-ultradifferentiable rapidly decreasing functions of Beurling type. We determine various properties of the space $\\mathcal{O}_{M,\\omega}(\\mathbb{R}^N)$. Moreover, we define and compare some lc-topologies of which $\\mathcal{O}_{M,\\omega}(\\mathbb{R}^N)$ can be naturally endowed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-08T12:02:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multipliers",
      "lc-topologies",
      "ultradifferentiable rapidly decreasing functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}