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Oct 8, 2016 at 6:00 vote accept Vesselin Dimitrov
Oct 8, 2016 at 5:59 history edited Vesselin Dimitrov CC BY-SA 3.0
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Oct 8, 2016 at 5:11 answer added Christian Remling timeline score: 3
Oct 8, 2016 at 2:16 comment added Vesselin Dimitrov @ChristianRemling: It is the Fourier transform of the first of these functions, $f_1(t)$. This is the 'triangle function' with the vertices $(\pm 1, 0)$ and $(0,1)$, so it meets the three conditions (and is extremal). As for $\widehat{f_2}$, it of course doesn't count as its Fourier transform isn't non-negative.
Oct 8, 2016 at 2:13 comment added Christian Remling Is that $\widehat{f}_j$ in the examples?
Oct 8, 2016 at 1:33 history edited Willie Wong
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Oct 8, 2016 at 1:06 history edited Vesselin Dimitrov CC BY-SA 3.0
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Oct 8, 2016 at 1:00 history edited Vesselin Dimitrov CC BY-SA 3.0
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Oct 8, 2016 at 0:46 history edited Vesselin Dimitrov CC BY-SA 3.0
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Oct 8, 2016 at 0:24 history asked Vesselin Dimitrov CC BY-SA 3.0