UNIQUENESS THEOREMS FOR FOURIER QUASICRYSTALS AND TEMPERATE DISTRIBUTIONS WITH DISCRETE SUPPORT

被引：1
|
作者：
Favorov, S. Yu [1 ]
机构：
[1] Karazins Kharkiv Natl Univ, Svobody Sq 4, UA-61022 Kharkiv, Ukraine
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2021年 / 149卷 / 10期
关键词：
Temperate distribution; Fourier transform; Fourier quasicrystal; measure with discrete support; distribution with discrete support; almost periodic distribution;
D O I：
10.1090/proc/15546
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is proved that if some points of the supports of two Fourier quasicrystals approach each other while tending to infinity and the same is true for the masses at these points, then these quasicrystals coincide. A similar statement is obtained for a certain class of discrete temperate distributions.
引用
收藏
页码：4431 / 4440
页数：10
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