Multivariate Wavelet Transforms and L~2(R~p) Frames

Yun Shi · Acta Analysis Functionalis Applicata · 2001

In this paper, nonseparable multivariate wavelet transforms of the general form are presented. The commonly used wavelet transforms are special cases of multivariate wavelet transforms we introduced. Furthermore, the multivariate wavelet frames in L 2(R p) and the expansion formulae for multivariate functions under the frames are constructed correspondingly.

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