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

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.

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

References in corpus (2)

• The C-property for slice regular functions and applications to the Bergman space
• The orthogonal projection on slice functions on the quaternionic sphere