{
  "id": "2001.11563",
  "version": "v1",
  "published": "2020-01-30T20:53:00.000Z",
  "updated": "2020-01-30T20:53:00.000Z",
  "title": "Riesz bases of exponentials and the Bohr topology",
  "authors": [
    "Carlos Cabrelli",
    "Kathryn Hare",
    "Ursula Molter"
  ],
  "comment": "11 pages",
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "We provide a necessary and sufficient condition to ensure that a multi-tile $\\Omega$ of $R^d$ of positive measure (but not necessarily bounded) admits a structured Riesz basis of exponentials for $ L^{2}(\\Omega )$. New examples are given and this characterization is generalized to abstract locally compact abelian groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-30T20:53:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B99",
      "42C15",
      "42A10",
      "05B45",
      "42A15"
    ],
    "keywords": [
      "bohr topology",
      "exponentials",
      "abstract locally compact abelian groups",
      "sufficient condition",
      "structured riesz basis"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}