Timeline for Fourier Coefficients and Hölder Continuity
Current License: CC BY-SA 3.0
2 events
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| Jan 30, 2013 at 21:46 | comment | added | Matt Jacobs | Yes I used Bernstein's theorem to construct my counterexample above. Do you know of any functions that both satisfy $f\in \mathcal{l}^1(\ZZ)$ and $|\hat{f}(n)|\leq C_f|n|^{-\alpha}$ for some $\alpha>1/2$ but $f$ is not Holder continuous of order $\alpha$. | |
| Jan 30, 2013 at 19:44 | history | answered | Gian Maria Dall'Ara | CC BY-SA 3.0 |