Timeline for On Fourier coefficients of nonnegative function
Current License: CC BY-SA 3.0
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Nov 21, 2016 at 5:12 | history | edited | Alexey Ustinov | CC BY-SA 3.0 |
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Nov 21, 2016 at 5:01 | comment | added | Alexey Ustinov | @fedja Yes, nice argument! | |
Nov 20, 2016 at 19:26 | comment | added | fedja | Certainly not: 3 shifted Fejer kernels (triangles on the Fourier side) dominate the rectangle with the same base, so you can get $3$ instead of $4$ at no cost even if you replace $\le N$ with $<N$ on the RHS (assuming $N\ge 1$, of course). With such replacement $3$ gets sharp but I don't know if without it you can actually get $2$. | |
Nov 20, 2016 at 4:43 | history | edited | Alexey Ustinov |
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Nov 20, 2016 at 3:27 | history | asked | Alexey Ustinov | CC BY-SA 3.0 |