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Results tagged with convolution
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user 75422
5
votes
Accepted
Convolution vanishes on an interval
Yes, because $f*g$ is indeed real-analytic (provided $g$ doesn't grow too fast at $\infty$), so that, being $0$ on an interval, it is $0$ everywhere. Then the Fourier transform of $f*g$, which is a Ga …
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