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

Research paper by Pietro Poggi-Corradini

Indexed on: 23 Nov '05Published on: 23 Nov '05Published in: Mathematics - Complex Variables



Abstract

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.