Timeline for Properties of Dirac delta
Current License: CC BY-SA 3.0
15 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 5, 2017 at 9:07 | vote | accept | apt45 | ||
| Dec 4, 2017 at 20:37 | answer | added | md2perpe | timeline score: 1 | |
| Dec 4, 2017 at 20:04 | comment | added | Daniel Robert-Nicoud | It still doesn't make sense. | |
| Dec 4, 2017 at 19:46 | comment | added | apt45 | @DanielRobert-Nicoud I edited the question | |
| Dec 4, 2017 at 19:46 | history | edited | apt45 | CC BY-SA 3.0 | added 289 characters in body |
| Dec 4, 2017 at 19:39 | comment | added | apt45 | @DanielRobert-Nicoud I mean the domain of integration | |
| Dec 4, 2017 at 19:38 | comment | added | Daniel Robert-Nicoud | Your first question doesn't make sense to me. Could you explain (formally) what do you mean by a limit of spaces? | |
| Dec 4, 2017 at 19:37 | history | edited | apt45 | CC BY-SA 3.0 | deleted 5 characters in body |
| Dec 4, 2017 at 19:35 | comment | added | apt45 | @reuns thanks... can you be a little bit more specific? | |
| Dec 4, 2017 at 19:32 | comment | added | reuns | But the Dirac delta isn't very interesting, what is interesting it to find if for some sequence of distributions, it holds that $\lim_{n \to \infty} \langle T_n, f \rangle = \langle \delta(x-a), f \rangle = f(a)$. In that case, $f$ continuous, piecewise continuous, or $C^\infty$ or $C^\infty_c$ makes a huge difference, and the result isn't always the same. | |
| Dec 4, 2017 at 19:31 | answer | added | anon25820948 | timeline score: 0 | |
| Dec 4, 2017 at 19:30 | comment | added | apt45 | @reuns sorry, there was a typo on the question I corrected | |
| Dec 4, 2017 at 19:28 | comment | added | reuns | If you mention it, you can define $\langle \delta(x-a),f \rangle = f(a)$ for $f$ continuous around $a$. Then you are asking about $\lim_{r \to \infty} \langle \delta(x-a),1_{|x-a| < r} \rangle$ and $\lim_{r \to \infty} \langle \delta(x-a),1_{|x-a| > r} \rangle$. | |
| Dec 4, 2017 at 19:28 | comment | added | Matthew Leingang | I think the space you are referring to is more commonly referred to as $\mathbb{R}^2$, not $\mathbb{R}^\infty$. | |
| Dec 4, 2017 at 19:24 | history | asked | apt45 | CC BY-SA 3.0 |