Abstract
In this paper, we study joint dilation scaling sets, MSF multiwavelets and non-MSF multiwavelets for reducing subspaces of . We characterize scaling sets having three-intervals by dilations 2 and , and discuss joint dilation wavelet sets obtained from these joint dilation scaling sets and also from generalized Journé wavelet sets. Further, we provide a method to obtain joint dilation scaling sets in higher dimensions through scaling sets of lower dimensions and hence obtain multiwavelet sets by dilations A and B.
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