WAVELET PACKETS IN WEIGHTED SOBOLEV SPACE

Abstract

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 dierent levels in weighted Sobolev space are presented. Some examples of wavelet packets in weighted Sobolev space are given.

Keywords

• Wavelets,wavelet packets,multiresolution analysis,weighted Sobolev space.

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