Combined MSF multiwavelets

被引：7
|
作者：
Bownik, M [1 ]
机构：
[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA
来源：
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2002年 / 8卷 / 02期
关键词：
expansive matrix; biorthogonal (multi)wavelet; MSF (multi)wavelet; combined MSF multiwavelet;
D O I：
10.1007/s00041-002-0008-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The properties of (bi)orthogonal multiwavelets associated with general expansive dilation matrices are studied It is shown that for almost every dilation (bi)orthogonal multiwavelets must be of the very special form, i. e., the union of their supports has minimal measure in the Fourier domain. This extends a one dimensional, single wavelet result of Chui and Shi.
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页码：201 / 210
页数：10
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