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On iterative roots of a homeomorphism of the circle with an irrational rotation number. (English) Zbl 0997.39014
Using the method given by M. Kuczma [Ann. Pol. Math. 11, 161-175 (1961; Zbl 0102.11102)] the author constructs all continuous iterative roots of a homeomorphism of the circle without fixed points which has an irrational rotation number. This construction differs from that given by M. C. Zdun [Bull. Pol. Acad. Sci., Math. 48, No. 2, 203-213 (2000; Zbl 0996.39016)].

MSC:
39B12 Iteration theory, iterative and composite equations
26A18 Iteration of real functions in one variable
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