Abstract: The notion of a sort of biorthogonal multiple vector-valued bivariate wavelet packets, which are associated with a quantity dilation matrix, is introduced. The biorthogonality property of the multiple vector-valued wavelet packets in higher dimensions is studied by means of Fourier transform and integral transform biorthogonality formulas concerning these wavelet packets are obtained.

Key words: bivariate, multiple vector-valued multiresolution analysis, multiple vector-valued scaling function, multiple vector-valued wavelet packets, biorthogonality