论文标题
关于分析和自由概要的观点的双曲线特征函数
On hyperbolic characteristic functions from an analytic and a free-probability point of view
论文作者
论文摘要
对于自由概率的语音转换，类似于双曲线特征函数，我们展示了如何以积分形式获得其代表度量。为此，仅知道这些仅在假想轴上转换就足够了。这与复杂的分析相反，在复杂的分析中，人们需要在复杂平面的某些域中了解它们。
For free-probability Voiculescu transforms, analogous to hyperbolic characteristic functions, we show how to get their representing measures in an integral form. For that purpose, it is enough to know those transforms only on the imaginary axis. This is in contrast to a complex analysis where one needs to know them in some domains in the complex plane.
