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<p>In this paper, we prove some Paley–Wiener theorems for function spaces consisting of slice monogenic functions such as Paley–Wiener, Hardy and Bergman spaces. As applications, we can compute the reproducing kernel functions for the related function spaces.</p>

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Paley–Wiener Theorems for Slice Monogenic Functions

  • 期刊论文

  • 发表日期：

    2025年4月5日

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  • Yanshuai Hao,
  • Pei Dang,
  • Weixiong Mai

摘要

In this paper, we prove some Paley–Wiener theorems for function spaces consisting of slice monogenic functions such as Paley–Wiener, Hardy and Bergman spaces. As applications, we can compute the reproducing kernel functions for the related function spaces.