矩阵值函数空间中尺度空间的稠密性The density of the space of matrix-valued scaling function
崔丽鸿;陈晓东;杜俊峰;王隆玉;郭兴宝;崔月娥;
摘要(Abstract)：
多分辨分析的概念在小波基构造中起着非常重要的作用,并经历了从经典多分辨分析到多重多分辨分析,再到矩阵值多分辨分析的研究历程.本文基于矩阵值多分辨分析,研究并给出了矩阵值函数空间中尺度空间稠密性的两个充要条件,并在此基础之上得到了稠密性的两个充分条件.
关键词(KeyWords)： 矩阵值多分辨分析;矩阵值函数空间;尺度空间;稠密性
基金项目(Foundation): 大学生创新性实验计划(101001027)
作者(Authors): 崔丽鸿;陈晓东;杜俊峰;王隆玉;郭兴宝;崔月娥;
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