Timeline for Fourier transform and support of a distribution
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Jan 20, 2014 at 1:18 | comment | added | Pedro Lauridsen Ribeiro | If $T$ is in $\mathscr{S}'$, you can obtain information on the analytic wavefront set of $T$ from $\widehat{T}$. Once you have that, the my best bet to answer your question is the microlocal Holmgren theorem due to Kashiwara and Kawai, which restricts the support of $T$ through knowledge of the analytic wavefront set of $T$. It's actually more natural to rephrase this problem in the context of hyperfunctions. Then, as suggested by Johannes Hahn, it's important to move from $\widehat{T}$ to the FBI transform of $T$, which is just a Gaussian convolution away from $\widehat{T}$. | |
| Jan 19, 2014 at 19:05 | comment | added | Johannes Hahn | I think the FBI transform might be useful here. | |
| S Jan 19, 2014 at 19:01 | history | suggested | smyrlis | CC BY-SA 3.0 |
improved formatting
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| Jan 19, 2014 at 19:00 | review | Suggested edits | |||
| S Jan 19, 2014 at 19:01 | |||||
| Jan 19, 2014 at 17:06 | history | asked | Appliqué | CC BY-SA 3.0 |