{
  "id": "2408.09563",
  "version": "v1",
  "published": "2024-08-18T18:21:53.000Z",
  "updated": "2024-08-18T18:21:53.000Z",
  "title": "Analogues of Fourier quasicrystals for a strip",
  "authors": [
    "Serhii Favorov"
  ],
  "comment": "9 pages, 19 references",
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "We study a certain family of discrete measures with unit masses on a horizontal strip as an analogue of Fourier quasicrystals on the real line. We prove a one-to-one correspondence between supports of measures from this family and zero sets of exponential polynomials with imaginary frequencies. This result is the special case of a general result on measures whose supports correspond to zero sets of absolutely convergent Dirichlet series with bounded spectrum.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-18T18:21:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30B50",
      "32A60",
      "52C23"
    ],
    "keywords": [
      "fourier quasicrystals",
      "zero sets",
      "absolutely convergent dirichlet series",
      "one-to-one correspondence",
      "unit masses"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}