English

Quaternionic Fock space on slice hyperholomorphic functions

Functional Analysis 2016-11-17 v1

Abstract

In this paper, we define the quaternionic Fock spaces Fαp\mathfrak{F}_{\alpha}^p of entire slice hyperholomorphic functions in a quaternionic unit ball B\mathbb{B} in H.\mathbb{H}. We also study growth estimate and various results of entire slice regular functions in these spaces. The work of this paper is motivated by the recent work of \cite{alpa12} and \cite{marco}.

Keywords

Cite

@article{arxiv.1611.05199,
  title  = {Quaternionic Fock space on slice hyperholomorphic functions},
  author = {Sanjay Kumar and S. D. Sharma and Khalid Manzoor},
  journal= {arXiv preprint arXiv:1611.05199},
  year   = {2016}
}
R2 v1 2026-06-22T16:54:00.597Z