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  最后修改时间: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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作者单位
陈金淑 兰州理工大学理学院甘肃 兰州 730050 
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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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