Let $f \in \mathcal{S}(\mathbb{R}^d)$ and we can obtain that $\mathcal{F}(f) \in \mathcal{S} (\mathbb{R}^d) $, which is the Fourier transform of $f$. Since we have the conclusion that $f$ and $\mathcal{F}(f) $ have the same $L_2$ norm. And my question is that how about their $L_1$ norm？
2026-03-29 22:26:41.1774823201
A question about Fourier transform and norm
234 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in REAL-ANALYSIS
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