Quaternionic Fock space in an Euclidean unit ball $\mathbb{B}^n$

Sanjay Kumar; Khalid Manzoor

Quaternionic Fock space in an Euclidean unit ball $\mathbb{B}^n$

Functional Analysis 2016-12-06 v1

Authors: Sanjay Kumar , Khalid Manzoor

Abstract

In this paper, we study the quaternionic counterpart of complex Fock spaces $\mathfrak{F}_{\alpha}^p ( 0<p<\infty$ and for some parameter $\alpha$ ) of entire slice hyperholomorphic functions in an Euclidean unit ball $\mathbb{B}^n$ in $\mathbb{H}^n.$ We also study some basic properties of these spaces.

Keywords

slice regular and monogenic functions differential geometry of surfaces and curves in euclidean space univalent functions

Cite

@article{arxiv.1612.00932,
  title  = {Quaternionic Fock space in an Euclidean unit ball $\mathbb{B}^n$},
  author = {Sanjay Kumar and Khalid Manzoor},
  journal= {arXiv preprint arXiv:1612.00932},
  year   = {2016}
}

Comments

13 pages. arXiv admin note: text overlap with arXiv:1611.05199

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