Timeline for Is there a $C_c^{\infty}( \mathbb{R}^d)$ function whose Fourier transform we can explicitly write down?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 24, 2016 at 19:04 | answer | added | Alexandre Eremenko | timeline score: 7 | |
| Apr 24, 2016 at 5:36 | answer | added | Terry Tao | timeline score: 23 | |
| Apr 24, 2016 at 2:02 | comment | added | Christian Remling | Also posted on MSE: math.stackexchange.com/questions/1755999/… | |
| Apr 24, 2016 at 1:48 | comment | added | Christian Remling | ... and conversely, any such function will have a FT in $C_0^{\infty}$. | |
| Apr 24, 2016 at 1:47 | comment | added | Christian Remling | @GeraldEdgar: We need the opposite here: $\widehat{f}$ is entire, of exponential type, and a Schwartz function on $\mathbb R^d$. (And I don't think there will be a very explicit example.) | |
| Apr 24, 2016 at 1:08 | comment | added | Gerald Edgar | First how about a Fourier transform that is not real-analytic? | |
| Apr 23, 2016 at 23:45 | history | asked | Jonathan | CC BY-SA 3.0 |