论以其对偶映射的构型为特征的莫比乌斯映射

Fritz Schweiger
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摘要

在此,我们考虑具有三个分支的片断线性映射。本文研究了具有可写成无穷级数的密度的不变度量。这些数列要么有无穷多个极点,要么和为只有一个极点的函数。
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On Moebius maps which are characterized by the configuration of their dual maps
Here we consider piecewise fractional linear maps with three branches. The paper presents a study of invariant measures with densities which can be written as infinite series. These series either have infinitely many poles or they sum up to a function with just one pole.
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