Abstract
The rise of wavelet analysis in applied mathematics is due to its applications and the flexibility. A sort of multiwavelet wraps with multi-scale dilation factor for space L 2 (R 3, C v ) is introduced, which is the generalization of multivariate wavelet wraps. An approach for designing a sort of biorthogonal multiwavelet wraps in three-dimensional space is presented and their biorthogonality property is characterized by virtue of iteration method and time-frequency analysis method. The biorthogonality formulas concerning these wavelet wraps are established. Moreover, it is shown how to obtain new Riesz bases of space L 2 (R 3, C v ) from these wavelet packets.
Published Version
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