| 陈金淑.?B-值广义泛函值函数可微性的刻画[J].数学研究及应用,2011,31(5):840~844 |
| ?B-值广义泛函值函数可微性的刻画 |
| A Characterization Theorem of the Differential of Functions Valued in B-Valued Generalized Functionals |
| 投稿时间：2010-01-11 修订日期：2011-01-12 |
| DOI：10.3770/j.issn:1000-341X.2011.05.009 |
| 中文关键词: 白噪声分析 Banach空间值广义泛函 微分 S-变换 |
| 英文关键词:white noise analysis B-valued generalized functionals differential S-transform. |
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| 中文摘要: |
| Banach 空间值白噪声广义泛函是一类重要的向量值白噪声广义泛函，该文给出了Banach 空间值白噪声广义泛函值函数的微分，用Banach 空间值白噪声广义泛函的S-变换刻画了其可微性. |
| 英文摘要: |
| Banach space-valued generalized functionals of white noise form an important part of vector-valued generalized functionals of white noise. In this paper, we discuss the differential of abstract function valued in B-valued generalized functional space. A characterized theorem is obtained by using their S-transform. |
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