{
  "id": "1701.07042",
  "version": "v1",
  "published": "2017-01-24T19:11:36.000Z",
  "updated": "2017-01-24T19:11:36.000Z",
  "title": "Riesz Bases of Exponentials on Unbounded Multi-tiles",
  "authors": [
    "Carlos Cabrelli",
    "Diana Carbajal"
  ],
  "comment": "13 pages, 3 figures",
  "categories": [
    "math.CA"
  ],
  "abstract": "We prove the existence of Riesz bases of exponentials of L^2(Omega), provided that Omega in R^d is a measurable set of finite and positive measure, not necessarily bounded, that satisfies a multi-tiling condition and an arithmetic property that we call P-admissibility. This property is satisfied for any bounded domain, so our results extend the known case of bounded multi-tiles. We also extend known results for submulti-tiles and frames of exponentials to the unbounded case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-24T19:11:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B99",
      "42C15"
    ],
    "keywords": [
      "riesz bases",
      "unbounded multi-tiles",
      "exponentials",
      "results extend",
      "arithmetic property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}