论文标题
维纳措施的基础结构
An elementary construction of the Wiener measure
论文作者
论文摘要
我们在$ \ mathfrak {c} $上对Wiener度量进行的构建包括首先定义一个基于某些$ n $ dimensional normal分布的所有紧凑型集合的set函数$φ$ \，$ n = 1，\ 2，\ ldots $ \使用（1）的结构关系在下面的（1）。第130页的书[2]记录了第一作者发现的这种结构关系。然后，我们在borel $σ$ - $ \ textbf {c} $的子集上定义了$μ$，这是维也纳措施。
Our construction of the Wiener measure on $\mathfrak{C}$ consists in first defining a set function $φ$\ on the class of all compact sets based on certain $n$-dimensional normal distributions, $n = 1,\ 2,\ldots$\ using the structural relation at (1) below. This structural relation, discovered by the first author, is recorded in his book [2] on page 130. We then define a measure $μ$ on the Borel $σ$-field of subsets of $\textbf{C}$ which is the Wiener measure.
