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Dec 14, 2021 at 9:31 comment added Watson @SimonHenry : see KConrad's answer below (from 2019). Essentially this is because we know the zeros/poles of $\Gamma(s)$.
Oct 26, 2015 at 9:59 comment added Simon Henry But there is a lot of functions which are their own Fourier transform, isn't it ? why this one in particular ? what would happen with other functions with the same property ?
Dec 4, 2009 at 22:32 comment added Ben Webster Ah, Terry Tao's post is clearly the answer I was looking for.
Dec 4, 2009 at 4:44 history answered David E Speyer CC BY-SA 2.5