English

On slice regular Bergman spaces and fiber bundles

Complex Variables 2023-10-27 v1

Abstract

Recently, fiber bundle theory has been widely used in the study of the slice regular functions and continuing with this line of research, the present work shows that the quaternionic slice regular Bergman space is the base space of a coordinate sphere bundle and some properties of quaternionic slice regular Bergman theory are studied from the point of view of the fiber bundle theory.

Keywords

Cite

@article{arxiv.2310.17067,
  title  = {On slice regular Bergman spaces and fiber bundles},
  author = {José Oscar González Cervantes},
  journal= {arXiv preprint arXiv:2310.17067},
  year   = {2023}
}