{
  "id": "2407.05030",
  "version": "v1",
  "published": "2024-07-06T09:46:59.000Z",
  "updated": "2024-07-06T09:46:59.000Z",
  "title": "On non-uniqueness of phase retrieval for functions with disconnected support",
  "authors": [
    "Roman Novikov",
    "Tianli Xu"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We show that the phase retrieval problem is not uniquely solvable even for functions with strongly disconnected compact support in multidimensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-07-06T09:46:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42A38",
      "35R30"
    ],
    "keywords": [
      "disconnected support",
      "non-uniqueness",
      "phase retrieval problem",
      "strongly disconnected compact support"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}