Timeline for A question about the limit of a sequence of pointwise convergent analytic funtions
Current License: CC BY-SA 3.0
3 events
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| Dec 30, 2012 at 17:27 | comment | added | Alexandre Eremenko | Of course if the sequence is locally bounded, then the convergence is locally uniform, and the limit is analytic. For the proof, see any textbook on complex variables, which has a chapter "Normal families", for example Ahlfors. | |
| Dec 30, 2012 at 15:39 | comment | added | woodbass | Thank you! Can you tell me from which book you adapt the Vitali-Porter theorem? (the bookname and the editor?) I woulk like to get it. | |
| Dec 30, 2012 at 15:04 | history | answered | GH from MO | CC BY-SA 3.0 |