On generalized localization of Fourier inversion for distributions

被引：1

作者：

Ashurov, Rayshan ^{[1
]}

Butaev, Almaz ^{[2
]}

机构：

[1] Natl Univ Uzbekistan, Inst Math, Tashkent 700143, Uzbekistan

[2] Concordia Univ, Dept Math & Stat, Montreal, PQ H3G 1M8, Canada

来源：

TOPICS IN FUNCTIONAL ANALYSIS AND ALGEBRA | 2016年 / 672卷

关键词：

EXPANSIONS;

D O I：

10.1090/conm/672/13549

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we study the behavior of spherical Fourier integrals and pointwise convergence and summability of Fourier inversion. We consider generalized localization principle which in classical L-p spaces was investigated by P.Sjolin, A.Carbery, F.Soria, and Sh.Alimov. Proceeding with these studies in this paper we establish sharp conditions for generalized localization in the class of finitely supported distributions.

引用

页码：33 / 50

页数：18

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