Uniqueness problem and growth property for Fourier transform of functions in the upper half-space

被引：0

作者：

Xu, Zuoliang ^{[1
]}

Zhang, Yanhui ^{[2
]}

机构：

[1] Renmin Univ China, Sch Math, Beijing, Peoples R China

[2] Beijing Technol & Business Univ, Sch Math & Stat, Beijing, Peoples R China

来源：

APPLICABLE ANALYSIS | 2022年 / 101卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Yongzhi Steve Xu; Fourier transform; uniqueness; C class; HARMONIC-FUNCTIONS; THEOREMS;

D O I：

10.1080/00036811.2020.1729357

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we non-trivially prove the higher dimensional version of uniqueness theorem that established by M. M. Dzhrbashyan in the complex plane . We further prove the growth property involving of the Fourier transform of functions in in the upper half-space of which partly generalizes the result in Levi [Lectures on entire functions. Providence (RI): American Mathematical Society; 1996].

引用

页码：100 / 107

页数：8

共 20 条

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