实交错代数上slice正则函数的逼近定理  

Approximation Theorems for Slice Regular Function on Real Alternative Algebras

作　　者：陈英伟[1] 陈灿虎 张宝兴 CHEN Yingwei;CHEN Canhu;ZHANG Baoxing(College of Mathematics and Statistics,Hebei University of Economics and Business,Hebei Shijiazhuang 050061,China)

机构地区：[1]河北经贸大学数学与统计学学院,河北石家庄050061

出　　处：《河北师范大学学报（自然科学版）》2022年第1期1-10,共10页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(11801132);河北省教育厅科技重点项目(ZD2020109)。

摘　　要：研究了实交错代数上slice正则函数的Runge定理和Carelman型逼近定理.作为特例,在四元数和八元数情形下得出相应的结论.Slice regular approximation is studied for slice regular functions on real alternative algebras.We obtain the counterparts of Runge′s approximation theorem and Carleman type approximation theorem.As concrete examples,the corresponding results can be obtained in the quaternionic and octonionic setting.

关 键 词：slice正则函数 Runge定理 Carleman定理 实交错代数 

分 类 号：O174.41[理学—数学]