| RANDOM SINGULAR INTEGRAL OF RANDOM PROCESS WITH SECOND ORDER MOMENT |
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| 作者姓名： | 王传荣 |
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| 作者单位： | DepartmentofMathematics,FuzhouUniversity,Fuzhou350002,China |
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| 基金项目： | 国家自然科学基金，福建省教育厅科研项目，福州大学校科研和教改项目 |
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| 摘 要： | This paper discussses the random singular integral of random process with second order moment, establishes the concepts of the random singular integral and proves that it‘s a linear bounded operator of space H^α(L)(rn, s). Then Plemelj formula and some other properties for random singular integral are proved.
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| 关 键 词： | 随机奇异积分 二阶力矩 Plemelj公式 统计性质 |
| 收稿时间： | 22 May 2003 |
RANDOM SINGULAR INTEGRAL OF RANDOM PROCESS WITH SECOND ORDER MOMENT |
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| Wang Chuanrong.RANDOM SINGULAR INTEGRAL OF RANDOM PROCESS WITH SECOND ORDER MOMENT[J].Acta Mathematica Scientia,2005,25(2):376-384. |
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| Authors: | Wang Chuanrong |
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| Institution: | 1. Centre for Nutrition and Food Sciences, Queensland Alliance for Agriculture and Food Innovation, The University of Queensland, Block 10, 39 Kessels Road, Coopers Plains, Brisbane, QLD 4108, Australia;2. Department of Agriculture and Fisheries, Health and Food Sciences Precinct, Block 10, 39 Kessels Road, Coopers Plains, Brisbane, QLD 4108, Australia;3. Australian Institute for Bioengineering and Nanotechnology, The University of Queensland, St. Lucia, Queensland 4072, Australia;1. Department of Chemistry, Hajee Karutha Rowther Howdia College, Uthamapalayam, Theni 625533, Tamil Nadu, India;2. Department of Chemistry, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore 641043, Tamil Nadu, India |
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| Abstract: | This paper discussses the random singular integral of random process with second order moment, establishes the concepts of the random singular integral and proves that it's a linear bounded operator of space Hα(L)(m, s). Then Plemelj formula and some other properties for random singular integral are proved. |
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| Keywords: | Random singular intergral second order moment Plemelj formula |
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