一种基于复变函数求证BLOCH函数问题的方法  

A Demonstrative Method to Question of Bloch Functions on Compound Variable Functions

作　　者：唐林勇[1] 

机构地区：[1]宜宾师范高等专科学校,四川宜宾644007

出　　处：《西南民族学院学报（自然科学版）》2001年第3期272-278,共7页Journal of Southwest Nationalities College(Natural Science Edition)

摘　　要：探讨应用复变函数求证卜罗奇 (Bloch)函数的两个重要问题 .建立了Bloch问题的有关定义 ,论证了重要引理与定理 ,应用了控制收敛定理与闭图象定理 ,引入了投影与有界算子及映射方法作了相互交叉的论证 .This paper discusses the utilization of the compound variable functions for demonstration to two important questions of Bloch functions. It built the relevant definitions with Bloch questions. And it proved important lemmas and theorems. And it utilized controllable convergent theorem and close theorem of picture image. And it made cross proof because that introduced operators with projection and boundary, also method of shine upon.

关 键 词：投影算子 复变函数 交叉论证 闭图象定理 BLOCH函数 控制收敛定理 BLOCH空间 

分 类 号：O174.5[理学—数学]