论文标题
翻译和调制不变的希尔伯特空间
Translation and modulation invariant Hilbert spaces
论文作者
论文摘要
我们表明，对于$ \ textbf {r}^d $的任何希尔伯特分布空间，它是翻译和调制不变的，等于$ l^2（\ textbf {r}^d）$，除了乘数常数外，具有相同的标准。
We show that for any Hilbert space of distributions on $\textbf{R}^d$ which is translation and modulation invariant, is equal to $L^2(\textbf{R}^d)$, with the same norm apart from a multiplicative constant.
