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RANDOM SINGULAR INTEGRAL OF RANDOM PROCESS WITH SECOND ORDER MOMENT 被引量:2

RANDOM SINGULAR INTEGRAL OF RANDOM PROCESS WITH SECOND ORDER MOMENT
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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 Ha(L)(m, s). Then Plemelj formula and some other properties for random singular integral are proved. 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 Ha(L)(m, s). Then Plemelj formula and some other properties for random singular integral are proved.
作者 王传荣
出处 《Acta Mathematica Scientia》 SCIE CSCD 2005年第2期376-384,共9页 数学物理学报(B辑英文版)
基金 The project is supported by the NSF of China (10271098)Education Foundation of Fujian (JB02083) Science & Technical Development Foundation of Fuzhou University (2003xy-11).
关键词 Random singular intergral second order moment Plemelj formula Random singular intergral, second order moment, Plemelj formula
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参考文献5

  • 1Wu Baotin,Li Qinsheng,Yang Yuewu.Random Processes and Random Differential Equations.Chengdu:Electronic Science and Technology Publication,1994 (Chinese). 被引量:1
  • 2Lu Jianke.Boundary Value Problems for Analytic Functions.World Scientific,1993. 被引量:1
  • 3Gakhov F D.Boundary value problems (Russian).Moscow,1977. 被引量:1
  • 4Wang Chuanrong.Random Riemann boundary value problems.Journal of Sichuan Normal University,1994,17(2):81-82 (Chinese). 被引量:1
  • 5Wang Chuanrong.Random Singular Integral and its Application.In:Lu Jianke,Wen Guochun eds.Boundary Value Problems Integral Equations and Related Problems.World Scientific,2000.191-197. 被引量:1

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