Abstract
Wavelet analysis has become a developing branch of mathematics for over twenty years. It has been a powerful tool for exploring and solving many complicated problems in natural science and engineering computation. In this work, the notion of orthogonal vector bivariate wavelet packs and wavelet frame packs, which are generalization of uni-wavelet packets, is introduced. A new procedure for designing these vector bivariate wavelet packs is presented. Their characteristics are studied by using time-frequency analysis method, Banach space theory and finite group theory. Orthogonal formulas concerning the wavelet packs are established. The biorthogonality formulas concerning these wavelet wraps are established. Moreover, it is shown how to draw new Riesz bases of space L 2(R 3, C v ) from these wavelet wraps.
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