PEGO THEOREM ON LOCALLY COMPACT ABELIAN GROUPS

被引：20
|
作者：
Gorka, Przemyslaw [1 ]
机构：
[1] Warsaw Univ Technol, Dept Math & Informat Sci, PL-00662 Warsaw, Poland
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2014年 / 13卷 / 04期
关键词：
Locally compact groups; abstract harmonic analysis; Fourier transform; compactness;
D O I：
10.1142/S0219498813501430
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we show the version of Pego's theorem on locally compact abelian groups. This theorem, [R. L. Pego, Compactness in L-2 and the Fourier transform, Proc. Amer. Math. Soc. 95 ( 1985) 252-254], gives a characterization of precompact sets of L-2 in terms of the Fourier transform.
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页数：5
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