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B-值白噪声广义泛函的解析刻画 被引量:7

An Analytic Characterization of B-Valued Generalized Functional of White Noise
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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.该文建立了Banach空间值白噪声广义泛函的一个解析刻画定理,并给出了此结果的若干应用. Banach space-valued generalized functionals of white noise form an important part of vector-valued generalized functionals of white noise. In this paper, an analytic characterization theorem is established for Banach space-valued generalized functionals of white noise. Applications of the result are also given.
出处 《数学物理学报(A辑)》 CSCD 北大核心 2007年第2期322-330,共9页 Acta Mathematica Scientia
基金 国家自然科学基金(10571065) 甘肃省自然科学基金(ZS021-A25-004-Z)资助
关键词 白噪声分析 Banach空间值广义泛函 解析刻画 White noise analysis Banach space-valued generalized functionals Analytic characterization.
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  • 2Cai Shi WANG,Zhi Yuan HUANG.A Moment Characterization of B-Valued Generalized Functionals of White Noise[J].Acta Mathematica Sinica,English Series,2006,22(1):157-168. 被引量:4
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