{
  "id": "1709.02849",
  "version": "v1",
  "published": "2017-09-08T20:11:31.000Z",
  "updated": "2017-09-08T20:11:31.000Z",
  "title": "H-Regular Borel measures on locally compact abelian groups",
  "authors": [
    "Lutz Peter Klotz",
    "Juan Miguel Medina"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $G$ be an LCA group, $H$ a closed subgroup, $\\varGamma$ the dual group of $G$. In accordance with analogous notions in prediction theory the classes of $H$-regular and $H$-singular Borel measures on $\\Gamma$ are defined. A characterization of $H$-regular measures is given and a Wold type decomposition is obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-08T20:11:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A15",
      "42A10",
      "43A05",
      "43A25"
    ],
    "keywords": [
      "locally compact abelian groups",
      "h-regular borel measures",
      "wold type decomposition",
      "singular borel measures",
      "regular measures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}