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Paley-Wiener theorems for slice monogenic functions (2502.14490v1)
Published 20 Feb 2025 in math.CV
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.