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Identity principles for commuting holomorphic self-maps of the unit disc |
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| Authors: | Filippo Bracci Roberto Tauraso Fabio Vlacci |
| Institution: | a Dipartimento di Matematica, Università di Roma “Tor Vergata,” Via della Ricerca Scientifica, 00133, Roma, Italy;b Dipartimento di Matematica “Ulisse Dini,” Università degli Studi di Firenze, Viale Morgagni 67/a, 50134, Firenze, Italy |
| Abstract: | Let f,g be two commuting holomorphic self-maps of the unit disc. If f and g agree at the common Wolff point up to a certain order of derivatives (no more than 3 if the Wolff point is on the unit circle), then f≡g. |
| Keywords: | Holomorphic self-maps Commuting functions Fixed points Wolff point |
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