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arXiv · 2606.18002

Radon transform for $GL_n(\mathbb{F}_q)$

Ivan Motorin·Kai Yamashita
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Abstract

In this paper, we study the Radon transform associated with the unipotent radical subgroups of $GL_n(\mathbb{F}_q)$. 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 $GL_2(\mathbb{F}_q)$ and $GL_3(\mathbb{F}_q)$.

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BibTeXRIS

Ivan Motorin, Kai Yamashita. 2026-06-16. Radon transform for $GL_n(\mathbb{F}_q)$. https://arxiv.org/abs/2606.18002

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