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Nonhomogeneous Wavelet Dual Frames and Extension Principles in Reducing Subspaces
Journal of Mathematics ( IF 1.3 ) Pub Date : 2020-06-08 , DOI: 10.1155/2020/1716525
Jianping Zhang 1 , Huifang Jia 2
Affiliation  

It can be seen from the literature that nonhomogeneous wavelet frames are much simpler to characterize and construct than homogeneous ones. In this work, we address such problems in reducing subspaces of . A characterization of nonhomogeneous wavelet dual frames is obtained, and by using the characterization, an MOEP and an MEP are derived under general assumptions for such wavelet dual frames.

中文翻译:

缩小子空间中的非齐次小波对偶框架和扩展原理

从文献中可以看出,非均匀小波框架比均匀小波框架更容易表征和构造。在这项工作中,我们解决了减少的子空间的问题获得非均匀小波双帧的特征,并通过使用该特征,在一般假设下针对这种小波双帧导出MOEP和MEP。
更新日期:2020-06-08
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