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arXiv · 1612.00932

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

Sanjay Kumar·Khalid Manzoor
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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.

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Sanjay Kumar, Khalid Manzoor. 2016-12-03. Quaternionic Fock space in an Euclidean unit ball $\mathbb{B}^n$. https://arxiv.org/abs/1612.00932

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