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PreprintCC BY 4.0arXiv

Radon transform for GLn(𝔽q)

  • Ivan Motorin
  • Kai Yamashita
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Abstract

In this paper, we study the Radon transform associated with the unipotent radical subgroups of GLn(𝔽q). We analyze properties of the Radon transform with a specific emphasis on its eigenvalues. We provide a description of its eigenvalues for the cases of GL2(𝔽q) and GL3(𝔽q).

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Cite

BibTeXRIS
BibTeX
@misc{motorin2026radon,
  title = {{Radon transform for $GL_n(\mathbbF_q)$}},
  author = {Ivan Motorin and Kai Yamashita},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2606.18002},
  eprint = {2606.18002},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.18002},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Radon transform for GL_n(𝔽_q)
AU  - Ivan Motorin
AU  - Kai Yamashita
PY  - 2026
DA  - 2026/09/06
PB  - arXiv
DO  - 10.48550/arxiv.2606.18002
UR  - https://arxiv.org/abs/2606.18002
AB  - In this paper, we study the Radon transform associated with the unipotent radical subgroups of GL_n(𝔽_q). We analyze properties of the Radon transform with a specific emphasis on its eigenvalues. We provide a description of its eigenvalues for the cases of GL_2(𝔽_q) and GL_3(𝔽_q).
ER  -