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arXiv · 2502.14490

Paley-Wiener theorems for slice monogenic functions

Yanshuai Hao·Pei Dang·Weixiong Mai
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Abstract

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.

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Yanshuai Hao, Pei Dang, Weixiong Mai. 2025-02-20. Paley-Wiener theorems for slice monogenic functions. https://arxiv.org/abs/2502.14490

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