论文标题
具有较小时频分散的操作员的一些意外行为
Some unexpected behaviors of operators with small time-frequency dispersion
论文作者
论文摘要
我们研究具有较小的时频分散体的伪差异操作员的近似特性，这意味着它们的扩散功能在原点的小社区中得到了支持。通常认为，对于此类运营商$ h $，输出$ hf $与输入$ f $的标量倍数只能有所不同。但是，我们反驳了这种启发式陈述，因此揭示了此类操作员的一些意外行为。
We study the approximation properties of pseudo-differential operators with small time-frequency dispersion, meaning that their spreading functions are supported in a small neighborhood of the origin. It is commonly assumed that for such operators $H$, the output $Hf$ can differ only a little from a scalar multiple of the input $f$. However, we disprove this heuristic statement, hence revealing some unexpected behaviors of such operators.
