On slice polyanalytic functions of a quaternionic variable
Complex Variables
2021-03-16 v2
Abstract
In this paper, we introduce the quaternionic slice polyanalytic functions and we prove some of their properties. Then, we apply the obtained results to begin the study of the quaternionic Fock and Bergman spaces in this new setting. In particular, we give explicit expressions of their reproducing kernels.
Cite
@article{arxiv.1812.07018,
title = {On slice polyanalytic functions of a quaternionic variable},
author = {Daniel Alpay and Kamal Diki and Irene Sabadini},
journal= {arXiv preprint arXiv:1812.07018},
year = {2021}
}
Comments
A Corrigendum to the previous version is contained at the end of the paper