PreprintarXiv licencearXiv
An integral representation of eigenfunctions for the deformed Noumi--Sano operators
Abstract
The deformed Noumi-Sano operator Hn, md(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 Hn, md(x, y). Using the integral transform, we obtain an integral representation of eigenfunctions for Hn, md(x, y).
Related
- Agmon estimates for the difference of exact and approximate Dirichlet eigenfunctions for difference operators
- Singular inner eigenfunctions of composition operators
- Jack Content Operators and the Deformed 𝒲1+∞ Algebra
- An Integral Representation of the Generalized Fibonacci Numbers
- Two pointwise estimates for singular integral operators over p-adic groups
BibTeX
@misc{fujii2026integral,
title = {{An integral representation of eigenfunctions for the deformed Noumi--Sano operators}},
author = {Taikei Fujii and Takahiko Nobukawa},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.13837},
eprint = {2609.13837},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.13837},
}
RIS
TY - UNPB
TI - An integral representation of eigenfunctions for the deformed Noumi--Sano operators
AU - Taikei Fujii
AU - Takahiko Nobukawa
PY - 2026
DA - 2026/09/12
PB - arXiv
DO - 10.48550/arxiv.2609.13837
UR - https://arxiv.org/abs/2609.13837
AB - 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).
ER -