Abstract
In this paper, Walter extended the classical Shannon sampling theorem to some wavelet subspaces. We generalize the sampling theorem for multi-wavelet subspaces to multi-wavelet subspaces with a two-scaling function of Multi Resolution Analysis (MRA) based on reproducing kernel Hilbert space. Then the reconstruction function can be expressed by multi-wavelet with two scaling function of MRA using frame theorem and Zak transform. Examples are given.
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