Generalized multi-resolution analyses and a construction procedure for all wavelet sets in Rn

Generalized multi-resolution analyses and a construction procedure for all wavelet sets in Rn
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DOI:
10.1007/bf01257191
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发表时间:
1999-01-01
影响因子:
1.2
通讯作者:
Merrill, KD
Merrill, KD
中科院分区:
数学3区
文献类型:
--
作者:
Baggett, LW;Medina, HA;Merrill, KD

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给出了广义多分辨分析的一种抽象形式,描述了那些来自多小波的广义多分辨分析。作为这种抽象形式的应用,发展了一种构造过程,它产生R-n中关于一个积分展开矩阵的所有小波集。
An abstract formulation of generalized multiresolution analyses is presented, and those GMRAs that come from multiwavelets ore characterized As an application of this abstract formulation, a constructive procedure is developed which Produces all wavelet sets in R-n relative to an integral expansive matrix.