Timeline for $p$-adic integrals and Cauchy's theorem
Current License: CC BY-SA 2.5
13 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 3, 2013 at 2:34 | answer | added | user21574 | timeline score: 3 | |
| Jun 15, 2011 at 5:01 | answer | added | S. Carnahan♦ | timeline score: 3 | |
| Jun 15, 2011 at 1:53 | answer | added | Jeremy Teitelbaum | timeline score: 6 | |
| Mar 9, 2011 at 8:01 | vote | accept | wood | ||
| Mar 8, 2011 at 6:49 | answer | added | monodromy | timeline score: 11 | |
| Mar 8, 2011 at 6:09 | answer | added | Minhyong Kim | timeline score: 41 | |
| Mar 7, 2011 at 14:40 | answer | added | Chandan Singh Dalawat | timeline score: 10 | |
| Mar 7, 2011 at 14:36 | answer | added | Anatoly Kochubei | timeline score: 11 | |
| Mar 7, 2011 at 14:03 | comment | added | wood | Using the Haar measure we can do integration on p adic numbers. But only of complex or real valued functions and not functions which attain p-adic values itself. Right? But this I explicitly excluded. | |
| Mar 7, 2011 at 13:55 | comment | added | Kevin Buzzard | There are several ways to interpret this question; perhaps the questioner doesn't want to make the question more precise though, because leaving it vague may maximise the amount of answers he/she will get! There is a perfectly good Haar measure on $\mathbf{Q}_p$, and so one can do classical integration on this, and integrate $L^2$ functions and so on. But $\mathbf{C}_p$ is not locally compact so there is trouble doing that. There is also Coleman integration, which is much more technical and relies on "Frobenius lifting"---see a paper of Colemanfromthe80s called sthg like "p-adic integration". | |
| Mar 7, 2011 at 13:24 | comment | added | Niyazi | wood, last semester I gave a talk on similar things. I started with Silverman's excellent book "Arithmetic of dynamical systems" and then I jump to Baker's Potential Theory on Berkovich spaces to show the existence of some kind of Lyubich measure. There are also many papers about p-adic functional analysis and they should use measure theory. | |
| Mar 7, 2011 at 13:24 | answer | added | Franz Lemmermeyer | timeline score: 5 | |
| Mar 7, 2011 at 12:54 | history | asked | wood | CC BY-SA 2.5 |