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

Piekarska, A.

Math. Pannonica 14, No. 2, 217-225 (2003).

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