In this work, we introduce a class of vector-valued wavelet packets with six-scale dilation factor for vector-valued higher dimensional function space. The definition of biorthogonal vector-valued mul dimensional wavelet packets is proposed and their biorthogonality properties are investigated by virtue of matrix theory, time-frequency analysis method, and operator theory. Three biorthogonality formulas regarding these wavelet packets are established. Moreover, it is shown how to gain new Riesz bases of space L2(Ru, Cv) from these wavelet packets.
展开▼
机译：在这项工作中，我们为矢量值的高维函数空间引入了一类具有六级膨胀因子的矢量值的小波包。提出了双正交矢量值多维小波包的定义，并利用矩阵理论，时频分析方法和算子理论研究了它们的双正交特性。建立了关于这些小波包的三个生物正交公式。此外，还展示了如何从这些小波包中获得空间L 2 （R u ，C v ）的新Riesz基。
展开▼
