二维康托尔集上的多分辨分析  

The Multi Resolution Analysis of Two-dimensional Cantor Set

作　　者：聂伟平 师东利 李万社[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,西安710062

出　　处：《西安文理学院学报（自然科学版）》2016年第5期26-29,共4页Journal of Xi’an University(Natural Science Edition)

摘　　要：根据康托尔集构造了一个二维康托尔集,建立了二维康托尔集与L2(R2)空间的对应关系,给予多分辨分析的几何特征,用二维康托尔集建立了函数的尺度分析.According to the Cantor set, the two-dimensional Cantor set is built. The correspond- ing relationship between two-dimensional Cantor set and L2（R2） space is set up. The geomet- rical characteristics of multi resolution analysis is presented. The scale analysis of function is established by the two-dimensional Cantor set.

关 键 词：康托尔集 多分辨分析 基函数 

分 类 号：O189.12[理学—数学]