{
  "annotation_id": "d590c014-9484-4889-b1f9-a95a6bed8b20",
  "date_created": "2026-02-17T05:53:20.216000Z",
  "date_modified": "2026-02-17T05:53:20.216000Z",
  "file_hash": "5bff26135277e88c336dd3ce5bde5d7de8a7ee5dafb5edf53ec800d5f89baeaf",
  "private": false,
  "record": {
    "abstract": "We investigate a \"deep zero problem\" proposed by Hedenmalm. We show that there is a natural connection between Hedenmalm\u0027s problem and the classical HRT conjecture in time-frequency analysis. This connection allows us to show that Hedenmalm\u0027s problem 5.2 in [5] as well as some of its natural analogs have affirmative answers.",
    "arxiv_id": "2601.09080",
    "authors": [
      "Yufei Li",
      "Zeguang Liu",
      "Kehe Zhu"
    ],
    "categories": [
      "math.FA",
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Deep zero problems and the HRT conjecture",
    "url": "https://arxiv.org/abs/2601.09080",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8a5b7769-d99c-4e04-ab2e-b65cf8bdb857",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}