Identity principles for commuting holomorphic self-maps of the unit disc

DOI10.1016/S0022-247X(02)00080-XzbMath1002.30018MaRDI QIDQ1614701

Roberto Tauraso, Filippo Bracci, Fabio Vlacci

Publication date: 8 September 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

fixed pointcommuting functionsDenjoy-Wolff point

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items

The Schwarz lemma at the boundary of the symmetrized bidisc ⋮ A Burns-Krantz type theorem for domains with corners ⋮ A rigidity theorem for holomorphic generators on the Hilbert ball ⋮ Boundary constructions of petals at the Wolff point in the parabolic case ⋮ Another look at the Burns-Krantz theorem ⋮ Canonical models for the forward and backward iteration of holomorphic maps ⋮ A rigidity condition for generators in strongly convex domains ⋮ Kœnigs-type linearization models and asymptotic behavior of one-parameter semigroups ⋮ Solving the Schröder equation at the boundary in several variables ⋮ Semigroups versus evolution families in the Loewner theory ⋮ The Schwarz Lemma: Rigidity and Dynamics

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