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Oct 9, 2016 at 21:17 comment added Christian Remling @PaataIvanisvili: That's right. I think the general version is that if (in a similar situation) $f(0)\le c_d 2^{-d}$, with $c_d$ being the volume of the unit ball, then again $f=g*g$, $g=\chi_{B_{1/2}}$. I don't know if that's interesting.
Oct 8, 2016 at 13:40 comment added Paata Ivanishvili Christian, this trick seems to work in high dimensions as well. Does it give you interesting bounds?
Oct 8, 2016 at 6:00 vote accept Vesselin Dimitrov
Oct 8, 2016 at 5:18 history edited Christian Remling CC BY-SA 3.0
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Oct 8, 2016 at 5:11 history answered Christian Remling CC BY-SA 3.0