构造A-伸缩MRA小波集的一种新方法

A NEW METHOD OF CONSTRUCTION OF A-DILATION MRA WAVELETS SETS

对任意的可扩张矩阵A及满足一定条件的可测集合Q,引入一个可测集合E的A-补对的定义,由此出发,构造了n维空间中的MRA小波集,并证明MRA小波是存在的,且该小波是具有最小支撑集的小波.文章最后还给出了一些简单的A-伸缩MRA小波的例子.

For an arbitrary matrix A and a measurable set Q which satisfies some the paper introduces the definition of A-complementary pair for a measurable s that, it proves that there exists A-dilation minimally supported frequency（MSF） At the last, the paper gives some concrete examples of A-dilation MRA wavelets dimension and the plane. conditions, et A. From wavelets . in the one-