Operators induced by certain hypercomplex systems
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DOI: 10.7494/opmath.2023.43.3.275
Abstract: In this paper, we consider a family \(\{ \mathbb{H}_{t}\}_{t\in\mathbb{R}}\) of rings of hypercomplex numbers, indexed by the real numbers, which contain both the quaternions and the split-quaternions. We consider natural Hilbert-space representations \(\{(\mathbb{C}^{2},\pi_{t})\}_{t\in\mathbb{R}}\) of the… read more here.
Keywords: certain hypercomplex; mathbb mathbb; induced certain; mathbb ... See more keywords