
handle: 11729/2800
We perform some splitting tricks over wavelets to construct basic wavelet packets in weighted Sobolev space. MRA based wavelet packet functions and their orthogonality at different levels in weighted Sobolev space are presented. Some examples of wavelet packets in weighted Sobolev space are given. The work of corresponding author is supported by the Senior Research Fellowship of University Grants Commission (UGC), India(Grant no. SRF/AA/139/F-236/2013-14). Publisher's Version
Compactly supported wavelets, Wavelets, Wavelet packets, Weighted Sobolev space, Multiresolution analysis, Wavelets;wavelet packets;multiresolution analysis;weighted Sobolev space.
Compactly supported wavelets, Wavelets, Wavelet packets, Weighted Sobolev space, Multiresolution analysis, Wavelets;wavelet packets;multiresolution analysis;weighted Sobolev space.
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