paper

Paley-Wiener theorems for slice monogenic functions

arXiv:2502.14490

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.

33 pages

Paley-Wiener theorems for slice monogenic functions · wovepaper