Timeline for Fundamental motivation for several complex variables
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Nov 28, 2012 at 4:37 | comment | added | Steve | @Daniel - this "multiple single variable complex analysis" is mostly what I have seen applied - not the scv phenomena which are unique to that field. I think the proof you have offered is awesome though! | |
| Nov 28, 2012 at 1:51 | comment | added | Daniel Moskovich | @Ralph Furmaniak: The resolvent has multiple complex variables (z is a vector), but, using a bit of analysis, the linked proof that a matrix has a Jordan normal form translates the problem into multiple problems each involving a single complex variable. Multiple single variable complex analysis ;-) | |
| Nov 27, 2012 at 21:28 | comment | added | Alexandre Eremenko | Indeed it seems that functional calculus (taking analytic functions of linear operators) does not fit to any of the "two sources of complex analysis" which I mentioned in my answer. Is this really a "third, independent source" of importance of complex analysis? | |
| Nov 27, 2012 at 19:35 | comment | added | Ralph Furman | Thanks for showing this; it's a great proof that I hadn't seen before! However, isn't this just single variable complex analysis? | |
| Nov 27, 2012 at 12:56 | history | answered | Daniel Moskovich | CC BY-SA 3.0 |