English

Paley-Wiener theorems for slice monogenic functions

Complex Variables 2025-02-21 v1

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.

Keywords

Cite

@article{arxiv.2502.14490,
  title  = {Paley-Wiener theorems for slice monogenic functions},
  author = {Yanshuai Hao and Pei Dang and Weixiong Mai},
  journal= {arXiv preprint arXiv:2502.14490},
  year   = {2025}
}

Comments

33 pages

R2 v1 2026-06-28T21:51:14.792Z