Localization for multiple Fourier series of functions of bounded harmonic variation

被引：0
作者：
Bakhvalov A.N. [1 ]
机构：
[1] Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory
来源：
Moscow University Mathematics Bulletin | 2007年 / 62卷 / 1期
关键词：
Fourier Series; Localization Property; Weak Sense; Trigonometric Fourier Series; Harmonic Variation;
D O I：
10.3103/S0027132207010032
中图分类号：
学科分类号：
摘要：
An example of a function of four variables belonging to the class of bounded harmonic variation (in a weak sense) is constructed. Cubic sums of a trigonometric Fourier series for this function does not possess the localization property. © 2007 Allerton Press, Inc.
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页码：12 / 17
页数：5
相关论文
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