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Wiener不定积分的广义局部时:白噪声分析法
引用本文:郭精军.Wiener不定积分的广义局部时:白噪声分析法[J].数学研究及应用,2012,32(3):373-378.
作者姓名:郭精军
作者单位:兰州商学院统计学院, 甘肃 兰州 730020; 华中科技大学数学与统计学院, 湖北 武汉 430074
基金项目:国家自然科学基金(Grant Nos.11061032; 30973586).
摘    要:In this paper,the generalized local time of the indefinite Wiener integral Xt is discussed through white noise approach,which means to regard the local time as a Hida distribution. Moreover,similar result is also obtained in case of two independent Brownian motions by using the similar approach.

关 键 词:local  time  Hida  distribution  white  noise  approach.
收稿时间:2010/8/12 0:00:00
修稿时间:2010/11/20 0:00:00

Generalized Local Time of the Indefinite Wiener Integral: White Noise Approach
Jingjun GUO.Generalized Local Time of the Indefinite Wiener Integral: White Noise Approach[J].Journal of Mathematical Research with Applications,2012,32(3):373-378.
Authors:Jingjun GUO
Institution:School of Statistics, Lanzhou University of Finance and Economics, Gansu 730020, P. R. China; School of Mathematics and Statistics, Huazhong University of Science and Technology, Hubei 430074, P. R. China
Abstract:In this paper, the generalized local time of the indefinite Wiener integral $X_t$ is discussed through white noise approach, which means to regard the local time as a Hida distribution. Moreover, similar result is also obtained in case of two independent Brownian motions by using the similar approach.
Keywords:local  time  Hida distribution  white noise approach  
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