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arXiv · 2309.04610

Regular Functions on the Scaled Hypercomplex Numbers

Daniel Alpay·Ilwoo Cho
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Abstract

In this paper, we study the regularity of $\mathbb{R}$-differentiable functions on open connected subsets of the scaled hypercomplex numbers $\left\{ \mathbb{H}_{t}\right\} _{t\in\mathbb{R}}$ by studying the kernels of suitable differential operators $\left\{ \nabla_{t}\right\} _{t\in\mathbb{R}}$, up to scales in the real field $\mathbb{R}$.

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Daniel Alpay, Ilwoo Cho. 2023-09-08. Regular Functions on the Scaled Hypercomplex Numbers. https://arxiv.org/abs/2309.04610

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