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Apr 19, 2023 at 13:39 comment added Grandes Jorasses I also don't understand why computing the Fourier transform of $g$ is useful (by the way, are you sure about the multiplication by $|\xi|^{-1/2}$?) and why it proves that $\hat{F}$ is supported at the origin.
Apr 19, 2023 at 12:30 comment added Grandes Jorasses Thank you! I do not understand why $\hat{F} \hat{g} = 0$. Isn't the Fourier transform of $0$ just $0$ concentrated at the origin?
Apr 19, 2023 at 12:09 history answered Bazin CC BY-SA 4.0