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arXiv · 2609.13837

An integral representation of eigenfunctions for the deformed Noumi--Sano operators

Taikei Fujii·Takahiko Nobukawa
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Abstract

The deformed Noumi-Sano operator $H_{n, m}^d(x, y)$ of order $d$ is a simultaneous extension of the Macdonald operator and the Noumi-Sano operator. In this paper, we construct an integral transform associated with eigenvalue problem of $H_{n, m}^d(x, y)$. Using the integral transform, we obtain an integral representation of eigenfunctions for $H_{n, m}^d(x, y)$.

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Taikei Fujii, Takahiko Nobukawa. 2026-09-12. An integral representation of eigenfunctions for the deformed Noumi--Sano operators. https://arxiv.org/abs/2609.13837

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