Total Differentiability and Monogenicity for Functions in Algebras of Order 4

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,...

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Bibliographic Details
Published inComplex analysis and operator theory Vol. 15; no. 2
Main Authors Sabadini, I., Struppa, D. C.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.03.2021
Springer Nature B.V
Subjects
Algebra
Analysis
Analytic functions
In memory of Carlos A. Berenstein (1944-2019)
Mathematics
Mathematics and Statistics
Operator Theory
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Summary: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.
ISSN:1661-8254
1661-8262
DOI:10.1007/s11785-020-01069-0