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arxiv: 1612.00932 · v1 · pith:BRZV4VCFnew · submitted 2016-12-03 · 🧮 math.FA

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

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keywords mathbbalphaballeuclideanfockquaternionicsomespaces
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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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