Timeline for Parametrix of external product of elliptic operators
Current License: CC BY-SA 4.0
10 events
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| Jun 20, 2018 at 5:26 | history | edited | geometricK | CC BY-SA 4.0 |
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| Jun 20, 2018 at 5:14 | comment | added | geometricK | Right, what I want to do is to relate the Schwartz kernel of $R=1-Q_{S\# T}S\# T$ to those of $1-Q_S S$ and $1-Q_T T$, in order to calculate the trace of $R$ along the diagonal. | |
| Jun 20, 2018 at 2:08 | comment | added | Deane Yang | I haven't tried to do it myself, but it seems like you could do this by the usual approach using the symbol calculus for pseudodifferential operators. | |
| Jun 20, 2018 at 0:43 | history | edited | geometricK | CC BY-SA 4.0 |
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| Jun 20, 2018 at 0:42 | comment | added | geometricK | @DeaneYang You're right, it doesn't in general need to be elliptic. Let's specialise to Dirac-type operators. | |
| Jun 19, 2018 at 21:25 | comment | added | Ali Taghavi | @DeaneYang one can ask the same question in the context of fredholm operators on Hilber spaces is $S\#T$ a fredholm operator if both $S$ and $T$ are Fredholm operators on hilbert spaces $H_1,H_2$, respectively? | |
| Jun 19, 2018 at 21:14 | comment | added | Ali Taghavi | As a post with similar terminologies please see mathoverflow.net/questions/266734/… | |
| Jun 19, 2018 at 19:16 | comment | added | Deane Yang | Why is $S\#T$ elliptic? | |
| Jun 19, 2018 at 16:14 | history | edited | geometricK |
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| Jun 19, 2018 at 15:42 | history | asked | geometricK | CC BY-SA 4.0 |