论文标题
均值映射和不变原理
Mean-type mappings and invariance principle
论文作者
论文摘要
在有限维度的情况下，均值映射，它们不变的手段，不变式均值的独特性与映射轨道的融合之间的关系。特别是表明不变性的独特性意味着所有轨道的收敛性。构建了强烈不规则的均值映射，并确定其独特的不变均值。提出了解决功能方程的应用。
In the finite dimensional case, mean-type mappings, their invariant means, relations between the uniqueness of invariant means and convergence of orbits of the mapping, are considered. In particular it is shown, that the uniqueness of an invariance mean implies the convergence of all orbits. A strongly irregular mean-type mapping is constructed and its unique invariant mean is determined. An application in solving a functional equation is presented.
