{
  "abstract": "Motivated by the wide applications of the quadratic phase integral transform in signal processing, optics, and time frequency analysis, in this paper we develop a new integral transform called the quaternion quadratic phase Dunkl transform (QQPDT). We present a detailed study of its fundamental properties. In particular, we establish continuity, linearity, scaling, modulation, Riemann Lebesgue result, inversion formula, and Parsevals identity. In addition, we estab lish Heisenberg and Donoho-Stark-type uncertainty principles for the QQPDT. Finally, we develop a signal recovery algorithm in the QQPDT domain. The proposed method enables the reconstruction of missing signal information from partial observations under suitable localization conditions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.12516",
  "author_total": 3,
  "authors": [
    {
      "name": "Akhilesh Prasad"
    },
    {
      "name": "Debabrata Biswal"
    },
    {
      "name": "Manab Kundu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ew7g92kz1bd0v.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.12516",
  "fulltext_url": null,
  "id": "ew7g92kz1bd0v",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.12516",
  "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|Mathematical Analysis and Transform Methods"
    ]
  ],
  "openalex": "W7212988316",
  "pdf_url": "https://arxiv.org/pdf/2609.12516",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ew7g92kz1bd0v.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:57Z",
      "native_id": "2609.12516",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.12516"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Quaternion Quadratic Phase Dunkl Transform: Its Properties and Uncertainty Principle",
  "title_text": "Quaternion Quadratic Phase Dunkl Transform: Its Properties and Uncertainty Principle",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:57Z",
  "url": "https://research.draconitic.com/paper/ew7g92kz1bd0v",
  "venue": "arXiv",
  "versions": []
}