{
  "id": "math/0401436",
  "version": "v1",
  "published": "2004-01-30T14:16:25.000Z",
  "updated": "2004-01-30T14:16:25.000Z",
  "title": "The weak Paley-Wiener property for group extensions",
  "authors": [
    "Hartmut Fuehr"
  ],
  "comment": "22 pages",
  "categories": [
    "math.FA",
    "math.RT"
  ],
  "abstract": "The paper studies weak Paley-Wiener properties for group extensions by use of Mackey's theory. The main theorem establishes sufficient conditions on the dual action to ensure that the group has the weak Paley-Wiener property. The theorem applies to yield the weak Paley-Wiener property for large classes of simply connected, connected solvable Lie groups (including exponential Lie groups), but also criteria for non-unimodular groups or motion groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-01-30T14:16:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A30",
      "22E27"
    ],
    "keywords": [
      "weak paley-wiener property",
      "group extensions",
      "paper studies weak paley-wiener properties",
      "main theorem establishes sufficient conditions",
      "lie groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......1436F"
    }
  }
}