Paley-Wiener Theorems For Slice Regular Functions
Complex Variables
2025-04-17 v2
Abstract
We prove two theorems of Paley and Wiener in the slice regular setting. As an application, we can compute the reproducing kernel for the slice regular Paley-Wiener space, and obtain a related sampling theorem.
Keywords
Cite
@article{arxiv.2502.14489,
title = {Paley-Wiener Theorems For Slice Regular Functions},
author = {Yanshuai Hao and Pei Dang and Weixiong Mai},
journal= {arXiv preprint arXiv:2502.14489},
year = {2025}
}
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27 pages