Weyl-Heisenberg Riesz Bases Generated by Two Intervals |
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Authors: | Xing-Gang He Hai-Xiong Li |
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Institution: | 1. College of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, China 2. College of Mathematics and Quantitative Economics, HuBei University of Education, Wuhan, 430205, China
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Abstract: | Let {e 2πimx g(x?n)} m,n∈? be a Weyl-Heisenberg system and let g be the characteristic function of a union of two separated intervals. We systematically study the window function g such that the Weyl-Heisenberg system consists of a Riesz basis of L 2(?). |
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