Characterizations of a class of orthogonal multiple vector-valued wavelet packetes

The multiple vector-valued wavelet packets are defined and investigated. A procedure for constructing the multiple vector-valued wavelet packets is presented. The properties of multiple vector-valued wavelet packets are discussed by using integral transformation and operator theory. Finally, new orthogonal bases of L²(R, C^s×s) is constructed from the orthogonal multiple vector-valued wavelet packets.