Property of nonhomogeneous dual wavelet frames in reducing subspaces - 文章详情页

作者：

Zhang, J. (Zhang, J..) | Fu, Y. (Fu, Y..)

收录：

Scopus PKU CSCD

摘要：

Based　on　the　arbitrary　expansion　and　translation　invariance　of　the　reducing　subspace　and　by　using　the　method　of　construction　of　wavelet　frames,　we　prove　the　equivalence　among　nonhomogeneous　dual　wavelet　frames　with　arbitrary　levels,　and　the　fact　that　an　arbitrary　nonhomogeneous　dual　wavelet　frames　derives　a　homogeneous　dual　wavelet　frames.　Furthermore,　we　obtain　the　similar　properties　of　the　nonhomogeneous　Parseval　wavelet　frame.　©　2016,　Beijing　University　of　Technology.　All　right　reserved.

关键词：

Affine frame; Nonhomogeneous dual wavelet frames; Reducing subspace

作者机构：

[ 1 ] [Zhang, J.]College of Applied Science, Beijing University of Technology, Beijing, 100124, China
[ 2 ] [Zhang, J.]School of Mathematics and Statistics, Yulin University, Yulin, Shaanxi 719000, China
[ 3 ] [Fu, Y.]Department of Information Engineering, Henan Finance and Taxation College, Zhengzhou, 451464, China

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