Timeline for Functional equation involving integrals and exponential
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 21, 2017 at 21:09 | comment | added | Bertrand | @Christian The real and imaginary integrals are linked and $f(x)$ is a positive function so not obvious that we can have solutions... but I agree it seems we have many, then finding a demonstration is far more difficult. | |
| Dec 21, 2017 at 21:02 | comment | added | Bertrand | $f(x)$ does not depends on $\lambda$. | |
| Dec 20, 2017 at 21:43 | comment | added | Alexandre Eremenko | $=0$ identically in $\lambda$? Or $f$ may depend on $\lambda?$ | |
| Dec 20, 2017 at 19:55 | comment | added | Christian Remling | You have a function to play around with and you just need two integrals to be zero (after separating into real and imaginary parts), so you'd expect gazillions of solutions for non-real $\lambda$. (The required asymptotics are not really stopping us, for example, you can take $f$ equal to these expressions near $0,\infty$.) | |
| Dec 20, 2017 at 18:22 | history | asked | Bertrand | CC BY-SA 3.0 |