An Analog of Titchmarsh's Theorem for the Fourier-Walsh Transform

被引：4

作者：

Platonov, S. S. ^{[1
]}

机构：

[1] Petrozavodsk State Univ, Petrozavodsk, Russia

来源：

MATHEMATICAL NOTES | 2018年 / 103卷 / 1-2期

关键词：

Fourier-Walsh transform; Lipschitz conditions; dyadic harmonic analysis;

D O I：

10.1134/S000143461801011X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the Fourier-Walsh transform on a"e(+) = [0,+a), we prove a dyadic analog of the classical Titchmarsh theorem on the description of the image under the Fourier transformation of the set of functions satisfying the Lipschitz condition in L (2).

引用

页码：96 / 103

页数：8