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On quasi-continuous iteration groups on the unit circle. (English) Zbl 1052.39020

Summary: The aim of this paper is to give a characterization of iteration groups defined on the unit circle \(S^1\), continuous with respect to the iterative parameter. Such groups are named quasi-continuous. The problem of the embeddability of a given function \(T:S^1\to S^1\) into quasi-continuous iteration groups is also considered.

MSC:

39B12 Iteration theory, iterative and composite equations
20F38 Other groups related to topology or analysis
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