论文标题
Gabor Gaussian框架的系数和近似速率的衰减
Decay of coefficients and approximation rates in Gabor Gaussian frames
论文作者
论文摘要
本说明的目的是提出一个独立的证据，证明可以使用高斯连贯状态的线性组合可以近似函数，并根据函数无穷大的光滑度和衰减来控制许多术语。使用调制空间上的高级结果可以轻松获得此结果，但是此处提供的证明是完全基本和独立的。
The aim of this note is to present a self-contained proof of the fact that a function can be approximated using a linear combination of Gaussian coherent states, with a number of terms controlled in terms of the smoothness and of the decay at infinity of the function. This result can easily be obtained using advanced results on modulation spaces, but the proof presented here is completely elementary and self-contained.
