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Paley-Wiener Theorems For Slice Regular Functions

Published 20 Feb 2025 in math.CV | (2502.14489v2)

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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Authors (3)

  1. Yanshuai Hao 
  2. Pei Dang 
  3. Weixiong Mai 

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