On the uniqueness of classical semiconjugations for self-maps of the disk

Details On the uniqueness of classical semiconjugations for self-maps of the disk On the uniqueness of classical semiconjugations for self-maps of the disk

2005-11-23

arxiv.org/abs/math/0511584v1

Mathematics

Complex Variables

18 pages

Scientific paper

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.

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