We study the sampling theorem for frames in multiwavelet subspaces. Firstly,a sufficient condition under which the regular sampling theorem holds is established. Then, notice thatirregular sampling is also useful in practice; we consider the general cases of the irregular samplingand establish a general irregular sampling theorem for multiwavelet subspaces. Finally, using thisgeneralized irregular sampling theorem, we obtain an estimate for the perturbations of regular samplingin shift-invariant spaces.
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