Timeline for Zeta-function regularization of determinants and traces
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
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| Oct 25, 2009 at 21:47 | history | edited | Ilya Nikokoshev | CC BY-SA 2.5 |
strike out wrong part
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| Oct 11, 2009 at 21:12 | comment | added | Ilya Nikokoshev | Ok, it's certainly my mistake --- I basically thought det exp A is defined as exp tr A which would make (1) trivial. But for the reference, I think books.google.com/… might help. | |
| Oct 8, 2009 at 22:01 | comment | added | Ilya Nikokoshev | I'll return to this on the weekend and see if I'm right :). | |
| Oct 8, 2009 at 20:38 | comment | added | Theo Johnson-Freyd | Great, although any chance you can either spell out the reasoning or point me to a reference? For example, here's what I know about (1). Let A have eigenvalues A_n. Then DET exp A is: compute \sum A_n \exp(-s A_n), extend, and evaluate at s=0. exp TR A is: compute \exp( \sum A_n^{-s}), extend, and evaluate at s=-1. Is there a change of variables to get from one of these functions to the other? Otherwise, I don't know why their extensions should match up. But perhaps I'm being dumb. | |
| Oct 8, 2009 at 20:26 | history | answered | Ilya Nikokoshev | CC BY-SA 2.5 |