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Commuting holomorphic maps of the unit disc

Published online by Cambridge University Press:  04 May 2004

ROBERTO TAURASO
ROBERTO TAURASO
Affiliation:
Dipartimento di Matematica, Università di Roma ‘Tor Vergata’, Via della Ricerca Scientifica, 00133 Roma, Italy (e-mail: [email protected])
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Abstract

Let f and g be two commuting holomorphic self-maps of the open unit disc $\mathbb{D}$ in the complex plane with a common Wolff point $\tau\in\partial\mathbb{D}$: if these two maps agree at $\tau$ up to the third order, then $f\equiv g$.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 24 , Issue 3 , June 2004 , pp. 945 - 953
Copyright
2004 Cambridge University Press

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