关于施瓦茨空间的一点小疑问？ - 知乎
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值得一提的是，洗袜子（Schwartz）空间是一个Frechet 空间，而不是一个 Banach空间，它也是常用的非Banach空间之一。 在 调和分析 中起到了最关键的作用，特别的， 傅立叶变换 在其中是一个isomorphism。 也就是说如果 f 是速降的，那么 它的Fourier变换 f ^ 也是速降的。
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