B -值白噪声广义泛函的解析刻画

数学物理学报

B -值白噪声广义泛函的解析刻画

王才士; 陈金淑; 屈明双

西北师范大学数学与信息科学学院兰州 730070

收稿日期:2005-11-09 修回日期:2006-11-03 出版日期:2007-04-25 发布日期:2007-04-25
通讯作者: 王才士
基金资助:
国家自然科学基金(10571065)和甘肃省自然科学基金(ZS021-A25-004-Z)资助

An Analytic Characterization of B-Valued Generalized Functionals of White Noise

Wang Caishi; Chen Jinshu; Qu Mingshuang

School of Mathematics & Information Science, Northwest Normal University, Lanzhou 730070

Received:2005-11-09 Revised:2006-11-03 Online:2007-04-25 Published:2007-04-25
Contact: Wang Caishi

摘要/Abstract

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.

关键词: 白噪声分析, Banach空间值广义泛函, 解析刻画

Abstract: 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.

Key words: White noise analysis, Banach space-valued generalized functionals,
Analytic characterization

中图分类号:

60H40

王才士; 陈金淑; 屈明双. B -值白噪声广义泛函的解析刻画[J]. 数学物理学报, 2007, 27(2): 322-330.

Wang Caishi; Chen Jinshu; Qu Mingshuang. An Analytic Characterization of B-Valued Generalized Functionals of White Noise[J]. Acta mathematica scientia,Series A, 2007, 27(2): 322-330.

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