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<p>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.</p>

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Paley–Wiener theorems for slice regular functions

  • 期刊论文

  • 发表日期：

    2025年6月12日

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  • Yanshuai Hao,
  • Pei Dang,
  • Weixiong Mai

摘要

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.