{
  "abstract": "We reexamine F. Wiener's classical proof that the Bohr radius of $H^\\infty$ is $1/3$. We replace $H^\\infty$ by the multiplier algebras of complete Pick spaces and describe the Bohr set for a wide class of such algebras. In particular, we show that the Bohr set of the multiplier algebra of the Drury--Arveson space $H^2_d$ is the closed $\\ell^2$-ball of radius $1/3$. Other cases covered by our description of Bohr sets include Dirichlet-type spaces of analytic functions in the unit disc and a class of Hilbert spaces of ordinary Dirichlet series, studied earlier by McCarthy and Shalit.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.26395",
  "author_total": 3,
  "authors": [
    {
      "name": "Ole Fredrik Brevig"
    },
    {
      "name": "Kristian Seip"
    },
    {
      "name": "Ilya Zlotnikov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9cdvyn8z86byk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.26395",
  "fulltext_url": null,
  "id": "9cdvyn8z86byk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.26395",
  "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.FA"
    ],
    [
      "openalex",
      "2604|Holomorphic and Operator Theory"
    ]
  ],
  "openalex": "W7214090118",
  "pdf_url": "https://arxiv.org/pdf/2609.26395",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9cdvyn8z86byk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:43Z",
      "native_id": "2609.26395",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.26395"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Bohr sets for multiplier algebras of complete Pick spaces",
  "title_text": "Bohr sets for multiplier algebras of complete Pick spaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:43Z",
  "url": "https://research.draconitic.com/paper/9cdvyn8z86byk",
  "venue": "arXiv",
  "versions": []
}