Operators induced by certain hypercomplex systems

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}}\...

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Bibliographic Details
Main Authors: Daniel Alpay, Ilwoo Cho
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2023-05-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol43/3/art/opuscula_math_4315.pdf