English

Regular Functions on the Scaled Hypercomplex Numbers

Functional Analysis 2023-09-12 v1

Abstract

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

Keywords

Cite

@article{arxiv.2309.04610,
  title  = {Regular Functions on the Scaled Hypercomplex Numbers},
  author = {Daniel Alpay and Ilwoo Cho},
  journal= {arXiv preprint arXiv:2309.04610},
  year   = {2023}
}
R2 v1 2026-06-28T12:16:43.967Z