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arXiv · 2502.14489

Paley-Wiener Theorems For Slice Regular Functions

Yanshuai Hao·Pei Dang·Weixiong Mai
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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.

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Yanshuai Hao, Pei Dang, Weixiong Mai. 2025-02-20. Paley-Wiener Theorems For Slice Regular Functions. https://arxiv.org/abs/2502.14489

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