Total Differentiability and Monogenicity for Functions in Algebras of Order 4

Authors

I. Sabadini, Politecnico di Milano
Daniele C. Struppa, Chapman UniversityFollow

Document Type

Article

Publication Date

1-27-2021

Abstract

In this paper we discuss some notions of analyticity in associative algebras with unit. We also recall some basic tool in algebraic analysis and we use them to study the properties of analytic functions in two algebras of dimension four that played a relevant role in some work of the Italian school, but that have never been fully investigated.

Comments

This article was originally published in Complex Analysis and Operator Theory , volume 15, in 2021. https://doi.org/10.1007/s11785-020-01069-0

Recommended Citation

Sabadini, I., Struppa, D.C. Total Differentiability and Monogenicity for Functions in Algebras of Order 4. Complex Anal. Oper. Theory 15, 26 (2021). https://doi.org/10.1007/s11785-020-01069-0

Peer Reviewed

1

Copyright

The authors

Creative Commons License

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