论文标题
签名措施的模糊和弱收敛性
Vague and weak convergence of signed measures
论文作者
论文摘要
对于多种应用程序，措施虚弱和模糊融合的必要条件和模糊融合至关重要。本文旨在全面描述措施签署时两种融合模式之间的关系，这在很大程度上不存在文献中。此外，当底层空间为$ \ mathbb {r} $时，我们研究了签名度量的模糊收敛与其分布功能的侧面收敛之间的关系。
Necessary and sufficient conditions for weak and vague convergence of measures are important for a diverse host of applications. This paper aims to give a comprehensive description of the relationship between the two modes of convergence when the measures are signed, which is largely absent from the literature. Furthermore, when the underlying space is $\mathbb{R}$, we study the relationship between vague convergence of signed measures and the pointwise convergence of their distribution functions.
