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Apr 24, 2016 at 20:30 comment added Piero D'Ancona Nice. This is done in great generality in Theorem 1.3.5 in the first volume of Hormander's book. By the same trick one can construct compactly supported functions with higher degree of smoothness
Apr 24, 2016 at 9:19 comment added Ben McKay For the lazy, $\operatorname{sinc} x=\sin(\pi x)/(\pi x)$.
Apr 24, 2016 at 6:47 comment added Ben McKay @FanZheng: en.wikipedia.org/wiki/Sinc_function
Apr 24, 2016 at 6:27 comment added Fan Zheng Could you explain what is sinc?
Apr 24, 2016 at 5:36 history answered Terry Tao CC BY-SA 3.0