Timeline for Extremal functions for the 'packing density in dimension one'
Current License: CC BY-SA 3.0
10 events
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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 |