Timeline for Why are distributions "tempered"?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Jul 20, 2021 at 7:40 | comment | added | Igor Khavkine | Aesthetically, I'm not averse to thinking of tempered distributions metallurgically: molten ore (a smooth test function) is left to cool (tend in a limit) and while it is annealing it is tempered (by Schwartz seminorms), with the result a tempered metal blade (tempered distribution), (locally) sharp, (globally) rigid, but not brittle (allowed to grow moderately). | |
| Jul 20, 2021 at 3:27 | comment | added | Sam Hopkins | Perhaps an analogous case: we speak of "tame" ramifications, not "tamed" ramifications. | |
| Jul 19, 2021 at 23:29 | comment | added | Eric Towers | No one tampered with $\delta$, but it is (aggressively) tapered... | |
| Jul 19, 2021 at 19:56 | comment | added | Michael Engelhardt | Yes, I don't think that discussion would lead to a satisfying conclusion. | |
| Jul 19, 2021 at 18:07 | comment | added | Abdelmalek Abdesselam | Ah...I guess this would lead to classic debate plato.stanford.edu/entries/platonism-mathematics I think I'll pass on that one. | |
| Jul 19, 2021 at 17:59 | comment | added | Michael Engelhardt | I agree it's not completely clear-cut for the distribution. However, is a distribution something that exists independent of a mathematician constructing it? Does it have any agency in determining its properties? Probably, to really get into the weeds, one should also distinguish between the concept "tempered distribution" and any particular instance of such. | |
| Jul 19, 2021 at 17:33 | history | edited | Abdelmalek Abdesselam | CC BY-SA 4.0 |
added 7 characters in body
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| Jul 19, 2021 at 17:19 | history | answered | Abdelmalek Abdesselam | CC BY-SA 4.0 |