Algebraic Properties of the Module of Slice Regular Functions in Several Quaternionic Variables

被引：16

作者：

Colombo, Fabrizio ^{[1
]}

Sabadini, Irene ^{[1
]}

Struppa, Daniele C. ^{[2
]}

机构：

[1] Politecn Milan, Dipartimento Matemat, I-20133 Milan, Italy

[2] Chapman Univ, Schmid Coll Sci, Orange, CA 92866 USA

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2012年 / 61卷 / 04期

关键词：

algebraic analysis; slice regular functions; quaternions; MONOGENIC FUNCTIONS; CALCULUS; FORMULA; THEOREM; KERNEL;

D O I：

10.1512/iumj.2012.61.4978

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we define the notion of slice regularity for several quaternionic variables by employing the recent definition due to Ghiloni and Perotti in one variable [25]. We show that in the case of several variables slice regularity is equivalent to being solutions of intertwined Cauchy-Riemann type operators, and we give an algebraic treatment of these functions. We also sketch how to extend our ideas to the case of higher dimension.

引用

页码：1581 / 1602

页数：22

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