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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.


This article was originally published in Complex Analysis and Operator Theory , volume 15, in 2021.

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



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