{
  "annotation_id": "d6dd9c71-fae5-4732-bd7e-e4edec70d47c",
  "date_created": "2026-02-17T05:53:23.980000Z",
  "date_modified": "2026-02-17T05:53:23.980000Z",
  "file_hash": "4ee2cc38e436c62668cdb55f532f794a23f9dfa32cd78e5792df4e971080bf2b",
  "private": false,
  "record": {
    "abstract": "We investigate the class of sequences $w(n)$ that can serve as almost-everywhere convergence Weyl multipliers for all rearrangements of multiple trigonometric systems. We show that any such sequence must satisfy the bounds $\\log n\\lesssim w(n)\\lesssim\\log^2 n$. Our main result establishes a general equivalence principle between one-dimensional and multidimensional trigonometric systems, which allows one to extend certain estimates known for the one-dimensional case to higher dimensions.",
    "arxiv_id": "2601.10360",
    "authors": [
      "Grigori A. Karagulyan"
    ],
    "categories": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "On UC-multipliers for multiple trigonometric systems",
    "url": "https://arxiv.org/abs/2601.10360",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8624ba7c-d10b-4441-b3e6-36c85b87520d",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}