Secondly, we define δ-fine partitions for infinite interval and (H) integral of vector-valued functions on infinite interval, and discuss the properties of (H) integral, and characterize its primitives. Thirdly, we discuss convergence theorems of vector-valued (H) integral on infinite interval.
本文中,我们对无穷区间上向量值函数非绝对积分理论进行了讨论,并给出了一些初步应用。