{
  "abstract": "We explore Fischer decompositions from the perspective of inframonogenic functions in Clifford analysis, a non-commutative version of harmonic functions in Euclidean spaces. We study decomposition formulas for polynomial spaces involving inframonogenic and harmonic components, providing fresh insights into their algebraic structures and further important applications.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.30045",
  "author_total": 4,
  "authors": [
    {
      "name": "Daniel Alfonso Santiesteban"
    },
    {
      "name": "Ricardo Abreu Blaya"
    },
    {
      "name": "Juan Bory Reyes"
    },
    {
      "name": "Baruch Schneider"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0n6nnn4q92d9x.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.30045",
  "fulltext_url": null,
  "id": "0n6nnn4q92d9x",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.30045",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CV"
    ],
    [
      "openalex",
      "2604|Algebraic and Geometric Analysis"
    ]
  ],
  "openalex": "W7204873435",
  "pdf_url": "https://arxiv.org/pdf/2608.30045",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0n6nnn4q92d9x.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2608.30045",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.30045"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Revisiting Fischer decompositions by inframonogenic functions",
  "title_text": "Revisiting Fischer decompositions by inframonogenic functions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/0n6nnn4q92d9x",
  "venue": "arXiv",
  "versions": []
}