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.

引用

页码：19 / 32

页数：14

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