A Note on Shift-Invariant Spaces Admitting a Single Generator

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Jun Jian ZHAODepartment of MathematicsTianjin Polytechnic UniversityTianjin PRChinaCollege of Applied SciencesBeijing University of TechnologyBeijing PRChina [1 ,21 ,300160 ,2 ,100124 ]
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O174.2 [傅里叶分析(经典调和分析)];
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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 L2(0,1) and L2(R).In this paper,in terms of bases for L2(0,α),two sampling theorems for αZ-shift invariant spaces with a single generator are obtained.
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页码:123 / 128
页数:6
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