Timeline for Integrability of a function under a condition on its Fourier transform
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 17, 2020 at 18:58 | vote | accept | Paul | ||
| Jun 17, 2020 at 16:15 | answer | added | Giorgio Metafune | timeline score: 1 | |
| Jun 17, 2020 at 16:13 | comment | added | Christian Remling | The assumption about $\widehat{F}$ existing is unnecessary. We could define $F(x)=\int_{-\infty}^x f(t)\, dt \in C_0$ and take its distributional FT. In fact, it's also immediately (from $\widehat{f}=x\widehat{F}$) that $F\in L^2$, so we don't really need distributions. | |
| Jun 17, 2020 at 16:09 | answer | added | Christian Remling | timeline score: 4 | |
| Jun 17, 2020 at 9:11 | comment | added | Paul | @Jochen Glueck thanks for the formatting (title and link) For your question, I am a little embarrassed because the question does not specify the meaning. I believe in the sence of moderate distributions. If the problem is badly posed I will wait seven september to see the professor. | |
| Jun 17, 2020 at 0:16 | comment | added | Jochen Glueck | As for your previous question I changed the title to make it a bit more informative, and I changed the format of the link. May I kindly suggest for future questions that you try to (i) choose titles that contain a bit more concrete information about the question (phrases such as "Prove that" don't really add much information to the title) and (ii) use urls within links instead of writing down the entire url in plain text? | |
| Jun 17, 2020 at 0:11 | history | edited | Jochen Glueck | CC BY-SA 4.0 |
Changed title and changed format of a link.
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| Jun 17, 2020 at 0:04 | comment | added | Jochen Glueck | What precisely does "such that $\hat F$ exists" mean? | |
| Jun 16, 2020 at 23:38 | comment | added | Paul | it is a question of a professor without indications. If F is a primitive of f (F '= f) we see that $ \hat f (x) = i x \hat F (x), \forall x \in \mathbb {R} $ | |
| Jun 16, 2020 at 23:16 | comment | added | Yemon Choi | Could you say more about where this question/problem arose, and why it is supposed to have a positive answer? That is: does this come from a paper you are reading? A course you are taking? etc | |
| Jun 16, 2020 at 22:53 | history | asked | Paul | CC BY-SA 4.0 |