Computational Methods and Function Theory 6 (2006), No. 2, 403--421
Copyright Heldermann Verlag 2006
Pietro Poggi-Corradini
pietro@math.ksu.edu , Department of Mathematics, Cardwell Hall, Kansas State University, Manhattan, KS 66506, U.S.A.
We study the uniqueness properties of classical semiconjugations for analytic self-maps of the disk, by characterizing them as canonical solutions to certain functional equations. As a corollary, we obtain a complete description of all possible solutions to such equations.
Keywords: Analytic selfmaps, iterates, semiconjugations, functional equations, uniqueness.
MSC 2000: 30D05.
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