标题： 卷积、从属和非交换概率中的表征问题 显示英文标题

标题： Convolution, subordination and characterization problems in noncommutative probability

摘要： 在这里研究自由概率中的表征问题。 利用自由加法和自由乘法卷积的次序性，我们将一些已知的自由概率中的表征推广到具有无界支撑的随机变量。 使用这种技术，我们还证明了自由随机变量分布的新表征。 类似的技术用于研究单调独立随机变量的Laha-Lukacs回归。 显示英文摘要

摘要： Characterization problems in free probability are studied here. Using subordination of free additive and free multiplicative convolutions we generalize some known characterizations in free probability to random variables with unbounded support. Using this technique we also prove a new characterization of distributions of free random variables. A similar technique is used to study Laha-Lukacs regressions for monotonically independent random variables.