A characterization for windowed fourier orthonormal basis with compact support

被引：0
|
作者：
Liu, YM [1 ]
机构：
[1] Beijing Polytech Univ, Dept Math Appl, Beijing 100022, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2001年 / 17卷 / 03期
关键词：
windowed Fourier basis; congruence;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let g(x) is an element of L-2 (R) and g(w) be the Fourier transform of (g) over cap(omega). Define g(mn)(x) = e(imx)(x - 2 pin). In this paper we shall give a sufficient and necessary condition under which {g,nn(x)} constitutes an orthonormal basis of L-2 (R) for compactly supported g(x) or (g) over cap(omega).
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页码：501 / 506
页数：6
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