WHITE NOISE ANALYSIS ON A NEW SPACE OF HIDA DISTRIBUTIONS
WHITE NOISE ANALYSIS ON A NEW SPACE OF HIDA DISTRIBUTIONS
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飞騨分布新空间的白噪声分析
DOI：
10.1142/s0219025799000199
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发表时间：
1999
期刊：
影响因子：
--
通讯作者：
A. Sengupta
中科院分区：
文献类型：
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作者：
I. Kubo;H. Kuo;A. Sengupta
设{α（n）; n≥0}是满足一定条件的正数序列。Cochran，Kuo和Sengupta在白色噪声空间（λ ′，μ）上引入了与序列{α（n）; n ≥ 0}相关联的Gel'fand三元组.本文给出了序列{α（n）; n≥0}的附加条件，以便在空间（α ′，μ）上实现白色噪声分布理论.此外，我们还证明了Bell数满足这些附加条件。
Let {α(n); n≥0} be a sequence of positive numbers satisfying certain conditions. A Gel'fand triple associated with the sequence {α (n); n ≥ 0} has been introduced on a white noise space (ℰ′,μ) by Cochran, Kuo and Sengupta. In this paper we obtain additional conditions on the sequence {α(n); n≥0} in order to carry out white noise distribution theory on the space (ℰ′,μ). Moreover, we show that the Bell numbers satisfy these additional conditions.