{
  "abstract": "We provide a complete algebraic characterization of homogeneous self-affine measures whose Fourier transform does not tend to $0$ at infinity. Moreover, we prove that an integral self-affine measure has power Fourier decay if and only if it is absolutely continuous. For a given integral affine IFS, we also provide an algorithm for determining those probability vectors for which the associated self-affine measure is absolutely continuous.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.23474",
  "author_total": 2,
  "authors": [
    {
      "name": "De-Jun Feng"
    },
    {
      "name": "Tian-Han Yi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4rdpes6rw0nsg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.23474",
  "fulltext_url": null,
  "id": "4rdpes6rw0nsg",
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  "landing_url": "https://arxiv.org/abs/2609.23474",
  "language": null,
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  "licence_label": "arXiv licence",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CA"
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      "arxiv",
      "math.DS"
    ],
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      "2610|Mathematical Dynamics and Fractals"
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  "openalex": "W7214024557",
  "pdf_url": "https://arxiv.org/pdf/2609.23474",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4rdpes6rw0nsg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:43Z",
      "native_id": "2609.23474",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.23474"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "On the Rajchman property of homogeneous self-affine measures",
  "title_text": "On the Rajchman property of homogeneous self-affine measures",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:43Z",
  "url": "https://research.draconitic.com/paper/4rdpes6rw0nsg",
  "venue": "arXiv",
  "versions": []
}