{
  "abstract": "We re-examine and consider variants of the Fourier restriction theorem for space curves. In particular, we introduce a Stein--Tomas-type argument which recovers the sharp $L^2$ restriction theorem from classical oscillatory integral estimates, in the spirit of Arkhipov--Chubarikov--Karatsuba. In addition, we consider certain square function estimates which can be thought of as partial progress towards a space curve variant of the orthonormal Fourier restriction theorem of Frank--Sabin. These estimates are obtained by reducing the problem to a Kakeya-type maximal inequality, which we analyse using a formulation of the Bourgain--Guth broad/narrow method.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.27968",
  "author_total": 3,
  "authors": [
    {
      "name": "Jean-Claude Cuenin"
    },
    {
      "name": "Jacob Denson"
    },
    {
      "name": "Jonathan Hickman"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/89mh2dzwvmpxc.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.27968",
  "fulltext_url": null,
  "id": "89mh2dzwvmpxc",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.27968",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CA"
    ],
    [
      "openalex",
      "2604|Advanced Harmonic Analysis Research"
    ]
  ],
  "openalex": "W7223115834",
  "pdf_url": "https://arxiv.org/pdf/2610.27968",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/89mh2dzwvmpxc.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:08Z",
      "native_id": "2610.27968",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.27968"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Remarks on space curve $L^2$ Fourier restriction",
  "title_text": "Remarks on space curve L^2 Fourier restriction",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:08Z",
  "url": "https://research.draconitic.com/paper/89mh2dzwvmpxc",
  "venue": "arXiv",
  "versions": []
}