平坦环路空间上布朗桥测度的刻画
The Characterization of Brownian Bridge Measure on the Flat Loop Space
摘要
通过选取适当的向量场以及Lévy准则,得到如下结果:平坦环路空间上的布朗桥测度可由相应的分部积分公式唯一刻画。此结果对研究平坦环路空间上的Stein方程有重要意义。
By choosing proper vector and L6vy criterion, we show that the Brownian bridge measure on the fiat loop space can be characterized through the integration by parts formula on the fiat loop space. This result plays an important role in the constructing of the Stein function on the fiat loop space.
出处
《廊坊师范学院学报（自然科学版）》
2013年第4期17-20,共4页
Journal of Langfang Normal University(Natural Science Edition)
关键词
平坦环路空间
分部积分公式
布朗桥测度
fiat loop space
integration by parts formula
Brownian bridge measure
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