本文在原有研究结果的基础上，讨论了叙列空间上的弱k级有界变差函数的一致收敛问题，得到了若干有关一致收敛的等价条件。

In this paper, based on -, the uniform convergence of the Kth order weak bounded variation functions on the sequence Spaces were investigated. Some equivalent conditions were also obtained.

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讨论一类可数离散半群上概率测度卷积幂的弱收敛性，主要结果是利用局部群化的观点给出了概率测度卷积幂弱收敛的一个充分条件。

The main result is that we get a sufficient condition for the weak convergence of convolution powers of probability measures, by using the method of local grouplization.

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另一方面，在附加了弱于“C是紧集”的条件下，得到了强收敛结果。

On the other hand, we obtain the strong convergence theorem under a condition weaker than "c is compactness".

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