Timeline for Eigenspace of Gaussian Markov operator
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 29, 2020 at 13:38 | vote | accept | Henning | ||
| May 24, 2020 at 21:30 | comment | added | Mateusz Kwaśnicki | The Fourier transform of $x$ is indeed $i \delta_0'$, and more generally, the Fourier transform of a polynomial $P(x)$ is $P(-i\partial_x) \delta_0$. I am not sure I have a good reference; Vladimirov's Methods of the Theory of Generalized Functions is one of the standard references, I think. | |
| May 24, 2020 at 17:06 | comment | added | Henning | Thank you! Since I am not trained and experienced in distribution theory (and Fourier transforms of distributions), I cannot see that the Fourier transform of $f(x)=x$ for $x \in \mathbb{R},$ that is, essentially $\delta'$ (correct?) is supported in $\{0\}.$ What is the difference to polynomials of higher order? Do you know any good reference for these basics? | |
| May 23, 2020 at 15:49 | history | edited | Mateusz Kwaśnicki | CC BY-SA 4.0 |
added 165 characters in body
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| May 23, 2020 at 15:42 | history | answered | Mateusz Kwaśnicki | CC BY-SA 4.0 |