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Timeline for limit of a singular integral

Current License: CC BY-SA 3.0

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Jan 19, 2014 at 3:54 answer added Felix Marin timeline score: 2
Nov 5, 2013 at 9:16 vote accept user16215
Nov 4, 2013 at 1:50 answer added Heis Wernerberg timeline score: 1
Nov 3, 2013 at 10:27 vote accept user16215
Nov 5, 2013 at 9:16
Nov 2, 2013 at 12:05 answer added fedja timeline score: 10
Nov 2, 2013 at 9:32 comment added user16215 Yes please fedja I would be glad to read the full answer and vote for it !
Nov 2, 2013 at 9:25 comment added fedja Actually it is because you take $\delta>0$, show that almost half of the total mass of $f_\gamma(x)f_\gamma(y)\,dxdy$ is in $[1-\delta,1]^2\cup [-1,\delta-1]^2$ where you have $\log|x-y|<\log\delta$ and conclude (the positive part is, clearly, bounded). Since you can take $\delta\approx \gamma^{-1}$ here and $\log$ is a superlazy guy when it comes to moving anywhere, the crude asymptotics $-(\frac 12+o(1))\log\gamma$ is obvious too. Let me know if you want more precision because that will take some work...
Nov 2, 2013 at 9:12 history asked user16215 CC BY-SA 3.0