科研之友
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摘要
In this paper, we introduce the concept of d-dilation (dual) pseudo-splines in L-2(R) with dilation d >= 2, characterize the linear independence of the integer shifts, the subdivision schemes of polynomial reproduction and Holder regularity for (dual) pseudo-splines with general dilation. We present a new method to determine the Holder regularity of refinable functions with general dilation d >= 2. Furthermore, we compare the regularities between pseudo-splines and dual ones.
