## 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

### Keywords:

quasi-continuous iteration group
Full Text: