On the Fourier series and Fourier transforms

被引：0

作者：

Trigub R.M. ^{[1
]}

机构：

[1] Sumy State University, Sumy

来源：

Journal of Mathematical Sciences | 2020年 / 244卷 / 1期

关键词：

and Kotel’nikov–Shannon; Bessel function; Euler–Maclaurin generalized formula; Levitan; Paley–Wiener; positive definiteness; Theorems by Bernstein; Titchmarsh theorem of convolution; uncertainty principle; Whitney theorem; Wiener algebra;

D O I：

10.1007/s10958-019-04605-2

中图分类号：

学科分类号：

摘要：

This survey article is addresses to classical harmonic analysis. In particular, a number of classical theorems are presented with the simplest, in our opinion, proofs (see also [1] and references therein). Some results of the present article are new and are published for the first time. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：65 / 94

页数：29

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