Wavelet Transforms Associated to the n-Dimensional Euclidean Group with Dilations: Signal in More Than One Dimension
Wavelet Transforms Associated to the n-Dimensional Euclidean Group with Dilations: Signal in More Than One Dimension
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与带扩张的 n 维欧几里得群相关的小波变换：多维信号
DOI：
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发表时间：
1990
期刊：
影响因子：
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通讯作者：
R. Murenzi
中科院分区：
文献类型：
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作者：
R. Murenzi
当要扩展到一个以上的维度时，整个小波机制是为一维的ax+b群开发的，在保持群语言的同时，很自然地考虑扩展的n维欧几里得群，用IG(n)表示。它是一个非幺模的局部紧群，其最自然的酉表示在L（n, dn x）中是不可约且平方可积的。
When one wants to extend to more than one dimension, the whole wavelet machinery developped for the one dimensional ax+b group, while keeping the group language, it is natural to consider the n-dimensional Euclidean group with dilations, to be denoted by IG(n). It is a non-unimodular locally compact group and its most natural unitary representation of in L(ℝn, dn x), is irreducible and square integrable.