Timeline for A moment problem
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 14, 2019 at 12:36 | vote | accept | random_person | ||
| Apr 19, 2015 at 2:23 | comment | added | Christian Remling | @random_person: I think the quickest way to see this is to use Fubini-Tonelli to confirm that for any closed curve $C$ inside the open strip, we have that $\int_C dz \int d\mu(t) e^{zt}=0$ (use that $\textrm{Re}\,z\le c<1/2$ for all $z\in C$). By Morera's theorem, $f$ is holomorphic. | |
| Apr 19, 2015 at 2:14 | comment | added | random_person | In fact before posting the question I was thinking about the same thing. The problem (which might be stupid, since I am not very strong in complex analysis) I had in mind was: how do I know $f$ is holomorphic on $\{z \in \mathbb{C}: 0 \le Re ~z < 1/2\}$? | |
| Apr 19, 2015 at 1:37 | history | answered | Christian Remling | CC BY-SA 3.0 |