实Clifford分析中双正则函数的一些性质  

Some Properties of Biregular Functions in Real Clifford Analysis

作　　者：王海燕[1] 乔玉英[1] 李小伶[1] 扈玮玮[1] 

机构地区：[1]河北师范大学数学与信息科学学院,河北石家庄050016

出　　处：《河北师范大学学报（自然科学版）》2008年第3期281-286,共6页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(10671207);河北省自然科学基金(A2007000225)

摘　　要：研究了含有2个变量的正则函数,所谓的双正则函数.正则函数是单复分析中全纯函数在高维空间的推广,全纯函数的经典函数理论如Morera定理,开拓定理等都可推广到正则函数,同样也可推广到双正则函数.以双正则函数的柯西积分公式为基础,得到了双正则函数的Morera定理,开拓定理,平均值定理.The regular functions with two variables are studied,so called biregular functions. Biregular functions are the extension of regular functions in high dimensional space. The classical theorems of analytic functions of one complex variable such as Morera theoremand painleve theorem are generalized to regular functions,similarly to biregular functions. Therefore, Morera theorem, painleve theorem and mean value theorem for biregular functions based on Cauchy integral formula are obtained.

关 键 词：双正则函数 Morera定理 开拓定理 平均值定理 

分 类 号：O177.4[理学—数学]