{
  "abstract": "This paper establishes an operator-theoretic version of Pego's compactness theorem within the framework of quantum harmonic analysis on general locally compact abelian phase spaces. We show that a bounded set of Hilbert-Schmidt operators is precompact if and only if it is uniformly equicontinuous under phase-space shifts and its Fourier-Weyl transform is uniformly equicontinuous on the dual phase space. We provide applications to quantum physics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.29976",
  "author_total": 1,
  "authors": [
    {
      "name": "Yaogan Mensah"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6fwfjtrqt38t9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.29976",
  "fulltext_url": null,
  "id": "6fwfjtrqt38t9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.29976",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.FA"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "2604|Mathematical Analysis and Transform Methods"
    ]
  ],
  "openalex": "W7204913993",
  "pdf_url": "https://arxiv.org/pdf/2608.29976",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6fwfjtrqt38t9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2608.29976",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.29976"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "The Pego Theorem for the Hilbert--Schmidt Class",
  "title_text": "The Pego Theorem for the Hilbert--Schmidt Class",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/6fwfjtrqt38t9",
  "venue": "arXiv",
  "versions": []
}