On a dual pair of spaces of smooth and generalized random variables
On a dual pair of spaces of smooth and generalized random variables
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在光滑和广义随机变量的对偶空间上
DOI：
10.1007/bf02345829
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发表时间：
1995
影响因子：
1.1
通讯作者：
Matthias Timpel
中科院分区：
文献类型：
--
作者：
J. Potthoff;Matthias Timpel
研究了白色噪声概率空间上光滑随机变量和广义随机变量的对偶对G和G *，G由Ornstein-Uhlenbeck算子的指数范数构成，G* 是它的对偶.本文证明了L（λ）上的函数是G或G * 中元素的L-变换的充分判据。
A dual pairG andG* of smooth and generalized random variables, respectively, over the white noise probability space is studied.G is constructed by norms involving exponentials of the Ornstein-Uhlenbeck operator,G* is its dual. Sufficient criteria are proved for when a function onL(ℝ) is theL-transform of an element inG orG*.