{
  "abstract": "This paper characterizes all the singular inner eigenfunctions of the composition operators $C_ϕ$ that arise from discrete measures, when $ϕ$ is an automorphism of unit disk. By establishing a connection between Beurling and model invariant subspaces, we classify all the inner functions so that the corresponding Beurling subspace is invariant under the composition operators induced by non-elliptic automorphisms. This classification involves solving the eigenfunction equation for the composition operator. Further, we present some applications of the above-mentioned connection.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.29722",
  "author_total": 3,
  "authors": [
    {
      "name": "V. A. Anjali"
    },
    {
      "name": "P. Muthukumar"
    },
    {
      "name": "P. Shankar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/24sx1bk1p60xm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.29722",
  "fulltext_url": null,
  "id": "24sx1bk1p60xm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.29722",
  "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.CV"
    ],
    [
      "arxiv",
      "math.FA"
    ],
    [
      "openalex",
      "2604|Holomorphic and Operator Theory"
    ]
  ],
  "openalex": "W7204942047",
  "pdf_url": "https://arxiv.org/pdf/2608.29722",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/24sx1bk1p60xm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2608.29722",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.29722"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Singular inner eigenfunctions of composition operators",
  "title_text": "Singular inner eigenfunctions of composition operators",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/24sx1bk1p60xm",
  "venue": "arXiv",
  "versions": []
}