Timeline for On the continuity of $\sum_{n=1}^{\infty} \sin(nx) / n^\alpha$
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 27, 2021 at 16:26 | answer | added | Dmitry Krachun | timeline score: 1 | |
| Nov 27, 2021 at 14:27 | history | edited | José Hdz. Stgo. | CC BY-SA 4.0 |
edited title
|
| Oct 16, 2013 at 2:14 | answer | added | Noam D. Elkies | timeline score: 6 | |
| Oct 15, 2013 at 22:40 | history | edited | Ricardo Andrade |
added top level tag (since question was bumped to the front page)
|
|
| Jun 25, 2013 at 3:02 | review | First posts | |||
| Jun 26, 2013 at 4:17 | |||||
| Jun 10, 2013 at 13:28 | comment | added | Johan Andersson | @Gerald, My answer below answers that question also. Yes, It is continuous on the open interval $(0,2\pi)$- | |
| Jun 10, 2013 at 13:26 | comment | added | Gerald Edgar | How about a (perhaps) more delicate question. Is it continuous on open interval $(0,2\pi)$ ?? | |
| Jun 10, 2013 at 12:47 | answer | added | Johan Andersson | timeline score: 6 | |
| Jun 10, 2013 at 10:43 | comment | added | Venkataramana | If $\alpha <1/2$ then the $L^2$ norm of your function is $\sum _{n=1}^{\infty} \frac{1}{n^{2\alpha}}$, which is infinite. Hence your function is not $L^2$ and therefore not continuous. | |
| Jun 10, 2013 at 10:12 | history | asked | Pavel | CC BY-SA 3.0 |