Timeline for Fourier Transforms restricted to mass shell
Current License: CC BY-SA 2.5
10 events
| when toggle format | what | by | license | comment | |
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| Sep 12, 2011 at 10:38 | comment | added | Marcel Bischoff | @Jan: that $E(D(\mathbb R^2))$ $\Longrightarrow$ $E(D(O))$ is interesting. | |
| Sep 11, 2011 at 20:12 | vote | accept | Jan S | ||
| Sep 9, 2011 at 8:56 | comment | added | Jan S | @Marcel: Thanks for your interest in this problem. Actually I encountered it, when proving the Reeh-Schlieder property, i.e. cyclicity of the vacuum for local algebras. Following Baumgärtel's book (Operatoralgebraic methods in quantum field theory) one can show that local algebras have this property, if the global algebra has it. That is in one-particle space language $E(D(O))$ is dense if $E(D(R^2))$ is. That is why I still need to show $E(D(R^2))$ is dense. Edit: Spelling and clarity. | |
| Sep 8, 2011 at 16:11 | history | edited | Giorgio Mossa |
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| Sep 8, 2011 at 9:40 | answer | added | Marcel Bischoff | timeline score: 1 | |
| Sep 8, 2011 at 7:36 | comment | added | Marcel Bischoff | Isn't this even true if one takes smooth functions with support in some fixed open region $O$? I mean this is basically the Reeh-Schlieder theorem applied for the "one-particle space". | |
| Sep 7, 2011 at 23:47 | answer | added | Pedro Lauridsen Ribeiro | timeline score: 3 | |
| Aug 9, 2010 at 13:22 | comment | added | Jan S | Well, I found this Blog blogs.ethz.ch/kowalski/2009/11/02/vade-retro-test-function which suggests I will not find a compactly supported function, whose fourier transform will decay exponentially, am I right? So, maybe there is another way to prove density or maybe the fourier transforms of compactly supported functions restricted to the mass shell is not dense in the L^2 functions on the mass-shell, which would surprise me. | |
| Aug 7, 2010 at 14:19 | answer | added | Richard Borcherds | timeline score: 2 | |
| Aug 7, 2010 at 13:30 | history | asked | Jan S | CC BY-SA 2.5 |