Timeline for Reconstructing a sine wave using square waves and Möbius inversion: L² convergence?
Current License: CC BY-SA 4.0
2 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 2, 2020 at 7:13 | comment | added | LeechLattice | The RHS converges for every x, given that $\sum_{m=0}^M {\mu(2m+1) s((2m+1)x)}=o(M)$ for fixed x. The $o(M)$ result can be found in the footnote on p.3 of the paper Quadratic Uniformity of the Mobius Function, namely, "qualitative versions of these results ... hold for rougher classes such as the continuous class $C^0$, or even piecewise continuous classes, by standard limiting arguments." | |
| Feb 28, 2020 at 17:09 | history | asked | Gro-Tsen | CC BY-SA 4.0 |