{
  "abstract": "We proved recently that there are no unconditional Schauder frames of exponentials in the space $L^p(Ω)$, $1 \\le p < 2$, for any set $Ω\\subset \\mathbb{R}^d$ of finite measure. For $p > 2$, we proved that the same holds provided that $Ω$ has nonempty interior, but the general case remained open. In this note we close this gap, i.e., we establish that exponentials cannot form an unconditional Schauder frame in $L^p(Ω)$, $p \\ne 2$, without any additional assumptions on the set $Ω$ of finite measure other than measurability.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.14842",
  "author_total": 2,
  "authors": [
    {
      "name": "Nir Lev"
    },
    {
      "name": "Anton Tselishchev"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6d3cespgwak4d.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.14842",
  "fulltext_url": null,
  "id": "6d3cespgwak4d",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.14842",
  "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.CA"
    ],
    [
      "arxiv",
      "math.FA"
    ],
    [
      "openalex",
      "2604|Mathematical Analysis and Transform Methods"
    ]
  ],
  "openalex": "W7221820815",
  "pdf_url": "https://arxiv.org/pdf/2610.14842",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6d3cespgwak4d.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:15Z",
      "native_id": "2610.14842",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.14842"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "There are no unconditional Schauder frames of exponentials in $L^p$ spaces, $p \\ne 2$",
  "title_text": "There are no unconditional Schauder frames of exponentials in L^p spaces, p ≠ 2",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:15Z",
  "url": "https://research.draconitic.com/paper/6d3cespgwak4d",
  "venue": "arXiv",
  "versions": []
}