Timeline for Motivation for and history of pseudo-differential operators
Current License: CC BY-SA 3.0
19 events
| when toggle format | what | by | license | comment | |
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| Dec 9, 2019 at 21:48 | answer | added | Daniele Tampieri | timeline score: 4 | |
| Feb 26, 2017 at 3:02 | answer | added | Herman Jaramillo | timeline score: 2 | |
| Sep 15, 2013 at 13:30 | history | edited | Ricardo Andrade |
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| Sep 15, 2013 at 13:25 | history | edited | Ricardo Andrade | CC BY-SA 3.0 |
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| Sep 15, 2013 at 12:07 | answer | added | user36539 | timeline score: 7 | |
| Apr 9, 2013 at 21:38 | comment | added | Camilo Sarmiento | doesn't the Dirac operator as "square root of the laplacian" constitute one of the first examples? (although this would be a motivation coming from physics) | |
| May 22, 2012 at 8:39 | history | edited | Willie Wong |
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| May 22, 2012 at 2:39 | comment | added | Otis Chodosh | People have told me they have something to do with "d-modules" and in particular "algebraic analysis," see en.wikipedia.org/wiki/Algebraic_analysis and the corresponding links. I'm not sure how exactly algebraic analysis influenced microlocal analysis and psido's, but you might find it interesting. I think that solving the heat equation on the circle using fourier series is perhaps the first "glimpse" of psido's that I can imagine, but this is not a particularly historically motivated remark. | |
| May 21, 2012 at 21:43 | answer | added | Bazin | timeline score: 41 | |
| May 21, 2012 at 18:52 | answer | added | Uday | timeline score: 9 | |
| Mar 22, 2011 at 15:23 | answer | added | Deane Yang | timeline score: 17 | |
| Mar 22, 2011 at 15:04 | answer | added | Piero D'Ancona | timeline score: 25 | |
| Mar 22, 2011 at 11:53 | answer | added | Paul Siegel | timeline score: 53 | |
| Mar 21, 2011 at 19:03 | answer | added | Anatoly Kochubei | timeline score: 10 | |
| Mar 21, 2011 at 18:44 | comment | added | shuhalo | Yes, but they are so promiment, I expect there cases were classical differtial operator theory simply get stuck, whereas a pdo approach provides something one would actually like to have. (which is subjective, of course.) | |
| Mar 21, 2011 at 18:30 | comment | added | Mariano Suárez-Álvarez | They are quite natural, in a way: once you know that usual differential operators correspond, under Fourier transform, to multiplication by polynomials, any undergrad worth her salt should ask what happens if you replace polynomials with more general functions! | |
| Mar 21, 2011 at 18:25 | history | edited | shuhalo | CC BY-SA 2.5 |
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| Mar 21, 2011 at 17:58 | history | edited | Deane Yang | CC BY-SA 2.5 |
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| Mar 21, 2011 at 17:20 | history | asked | shuhalo | CC BY-SA 2.5 |