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.
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页码：65 / 94
页数：29
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