Timeline for Are there such things as non-trivial entire semigroups?
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Feb 3, 2020 at 17:02 | comment | added | YCor | I guess "holomorphic flows", "entire flows" will lead to more feedback than "semigroups". For instance see: Brian A. Coomes, Polynomial Flows on $\mathbb{C}^n$, Trans. A.M.S. Vol. 320, No. 2 (Aug., 1990), pp. 493-506 | |
| Feb 3, 2020 at 16:59 | history | edited | YCor |
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| Mar 27, 2017 at 2:03 | vote | accept | CommunityBot | ||
| Mar 27, 2017 at 2:00 | answer | added | Alexandre Eremenko | timeline score: 6 | |
| Mar 26, 2017 at 20:45 | comment | added | user78249 | No problem, happens to the best of us :) | |
| Mar 26, 2017 at 20:41 | comment | added | მამუკა ჯიბლაძე | I see, thanks, interesting, sorry for not noticing this. | |
| Mar 26, 2017 at 20:35 | comment | added | user78249 | @მამუკაჯიბლაძე I was going to mention these types of semigroups, but I thought it would thicken the question too much. Essentially, $\phi : \mathbb{C}_{\Re(s) > 0} \times \hat{\mathbb{C}} \to \hat{\mathbb{C}}$, it is a semigroup on the Riemann-sphere, but not on $\mathbb{C}$. As you can see, this $\phi$ has poles in $z$, so it is not holomorphic on $\mathbb{C}$ and fails the requirements of the theorem. | |
| Mar 26, 2017 at 20:16 | comment | added | მამუკა ჯიბლაძე | Does e. g. $\phi(s,z)=\frac z{1-c s z}$ fall into your cases? | |
| Mar 26, 2017 at 19:29 | history | asked | user78249 | CC BY-SA 3.0 |