Noncommutative Cauchy Integral Formula

被引：7
|
作者：
Ghiloni, Riccardo [1 ]
Perotti, Alessandro [1 ]
Recupero, Vincenzo [2 ]
机构：
[1] Univ Trento, Dipartimento Matemat, Via Sommar 14, I-38123 Trento, Italy
[2] Politecn Torino, Dipartimento Sci Matemat, Corso Duca Abruzzi 24, I-10129 Turin, Italy
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2017年 / 11卷 / 02期
关键词：
Cauchy integral formula; Functions of a hypercomplex variable; Quaternions; Octonions; Clifford algebras; REGULAR FUNCTIONS; FUNCTIONAL-CALCULUS; KERNEL; SERIES;
D O I：
10.1007/s11785-016-0543-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to provide and prove the most general Cauchy integral formula for slice regular functions and for C-1 functions on a real alternative *-algebra. Slice regular functions represent a generalization of the classical concept of holomorphic function of a complex variable in the noncommutative and nonassociative settings. As an application, we obtain two kinds of local series expansion for slice regular functions.
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页码：289 / 306
页数：18
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