Interaction between the Fourier transform and the Hilbert transform

被引：5
|
作者：
Liflyand, Elijah [1 ]
机构：
[1] Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel
来源：
ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA | 2014年 / 18卷 / 01期
关键词：
Fourier transform; Hilbert transform; real Hardy space; atomic decomposition; Hardy's inequality; bounded variation;
D O I：
10.12697/ACUTM.2014.18.03
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Well-known and recently observed situations where the two main transforms in harmonic analysis, the Fourier transform and the Hilbert transform, show their adjacency and interplay in a specific interesting manner are overviewed. Some relations of that kind are new, while in other cases well-known formulas are considered in a different setting.
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页码：19 / 32
页数：14
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