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In 2005, Garcia, Perez-Villala and Portal gave the regular and irregular sampling formulas in shift invariant space Vφ via a linear operator T between L^2(0, 1) and L^2(R). In this paper, in terms of bases for L^2(0, α), two sampling theorems for αZ-shift invariant spaces with a single generator are obtained. 相似文献
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