Regular Functions on the Scaled Hypercomplex Numbers

Authors

Daniel Alpay, Chapman UniversityFollow
Ilwoo Cho, St. Ambrose University

Document Type

Article

Publication Date

2-26-2024

Abstract

In this paper, we study the regularity of R-differentiable functions on open connected subsets of the scaled hypercomplex numbers {Ht}_t∈R by studying the kernels of suitable differential operators {∇_t}_t∈R, up to scales in the real field R.

Comments

This article was originally published in Integral Equations and Operator Theory, volume 96, issue 9, in 2024. https://doi.org/10.1007/s00020-024-02756-9

Recommended Citation

Alpay, D., Cho, I. Regular Functions on the Scaled Hypercomplex Numbers. Integr. Equ. Oper. Theory 96, 9 (2024). https://doi.org/10.1007/s00020-024-02756-9

Peer Reviewed

1

Copyright

The authors

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 License.