Timeline for Example of continuous function that is analytic on the interior but cannot be analytically continued?
Current License: CC BY-SA 4.0
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| S Feb 15 at 15:12 | history | suggested | The Amplitwist | CC BY-SA 4.0 |
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| Feb 15 at 13:45 | review | Suggested edits | |||
| S Feb 15 at 15:12 | |||||
| Mar 27, 2010 at 14:27 | comment | added | Jacques Carette | To be specific about an example: pick any non-real 'c' from the interior of the main cardioid of the Mandelbrot set. The Julia set for such a value of c is a Jordan curve. You can pick either the the interior or exterior components of the Fatou set (in the Riemann sphere) and get a uniformizing function that satisfies your requirements. The extension is even Hölder continuous. | |
| Mar 27, 2010 at 2:51 | history | edited | Jorge Vitório Pereira | CC BY-SA 2.5 |
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| Jan 5, 2010 at 19:57 | history | edited | Jorge Vitório Pereira | CC BY-SA 2.5 |
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| Jan 5, 2010 at 19:51 | history | edited | Jorge Vitório Pereira | CC BY-SA 2.5 |
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| Jan 5, 2010 at 19:42 | history | answered | Jorge Vitório Pereira | CC BY-SA 2.5 |