From Characteristic Function to Distribution Function: A Simple Framework for the Theory
建立了一个统一框架，用于研究如何从特征函数计算分布函数，并提出了Gurland和Gil-Pelaez单变量反演定理的新证明方法，进而推导出多变量反演定理。
A unified framework is established for the study of the computation of the distribution function from the characteristic function. A new approach to the proof of Gurland's and Gil-Pelaez's univariate inversion theorem is suggested. A multivariate inversion theorem is then derived using this technique.