论文标题
Cohn-Elkies功能来自Gabor框架
Cohn-Elkies functions from Gabor frames
论文作者
论文摘要
我们研究了两个不同的数学问题之间的关系：使用Cohn-Elkies函数在球体堆积密度上的构建和用于信号分析的Gabor框架的构建。特别是，我们在任意维度中提出了Cohn-Elkies函数的一般结构，该函数是从带有高斯窗口的Gabor框架的近似Wexel-Raz双重构造中获得的。
We investigate the relation between two different mathematical problems: the construction of bounds on sphere packing density using Cohn-Elkies functions and the construction of Gabor frames for signal analysis. In particular, we present a general construction of Cohn-Elkies functions in arbitrary dimension, obtained from an approximate Wexel-Raz dual for Gabor frames with Gaussian window.
