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.

Noncommutative Cauchy integral formula / Ghiloni, R.; Perotti, A.; Recupero, V.. - In: COMPLEX ANALYSIS AND OPERATOR THEORY. - ISSN 1661-8262. - STAMPA. - 11:2(2017), pp. 289-306. [10.1007/s11785-016-0543-6]

Noncommutative Cauchy integral formula

R. Ghiloni;A. Perotti;
2017-01-01

Abstract

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.
2017
2
Ghiloni, R.; Perotti, A.; Recupero, V.
Noncommutative Cauchy integral formula / Ghiloni, R.; Perotti, A.; Recupero, V.. - In: COMPLEX ANALYSIS AND OPERATOR THEORY. - ISSN 1661-8262. - STAMPA. - 11:2(2017), pp. 289-306. [10.1007/s11785-016-0543-6]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/97449
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