{
  "abstract": "We study the intrinsic right $q$-radial derivative at integral superdimension $M=m-2n$, using an independent formal parameter $Q$ before the specialisation $Q=q^M$. The exterior-blade action carries the parity factor $(-1)^{|I|}$, and the corresponding Fischer theory uses right multiplication. We establish finite-support compatibility, faithful coordinate realisations in a sufficient finite-block range, and localised Green and determinant-localised Fischer decompositions. For one vector, we determine the kernel and cokernel explicitly, including the additional singular monomial and missing image exactly when $M\\in-2\\mathbb N_0$. In degree zero the right Fischer operator is diagonal on auxiliary exterior blades, with eigenvalue $[M-p]_q+p$ at nonempty support rank $p$. For positive integral $M$, resonances in $0<q<1$ occur exactly at ranks $p>M$: each rank has one simple resonance, these values increase strictly with $p$, and the corresponding kernels and singular right-monogenic elements are explicit. The two-vector Fischer determinant is nonzero for positive $M$ and $0<q<1$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.14449",
  "author_total": 4,
  "authors": [
    {
      "name": "Juan Bory-Reyes"
    },
    {
      "name": "Baruch Schneider"
    },
    {
      "name": "Diana Barseghyan Schneiderová"
    },
    {
      "name": "Yifan Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2se7erywtt26v.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.14449",
  "fulltext_url": null,
  "id": "2se7erywtt26v",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.14449",
  "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": "W7169587980",
  "pdf_url": "https://arxiv.org/pdf/2607.14449",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2se7erywtt26v.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2607.14449",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.14449"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Right $q$-Radial Calculus at Integral Superdimension",
  "title_text": "Right q-Radial Calculus at Integral Superdimension",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/2se7erywtt26v",
  "venue": "arXiv",
  "versions": []
}