Yes, I know that if $f$ is a function with compact support, then its Fourier transform $\hat{f}$ cannot have compact support. But are there conditions for which the function $\hat{f}$, being $f$ compactly supported, vanishes at infinity? If so, what would those conditions be?
2026-05-05 00:51:38.1777942298
Compactly supported function whose Fourier transform vanishes at infinity
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