Acta mathematica scientia,Series B ›› 2005, Vol. 25 ›› Issue (2): 376-384.

• Articles • Previous Articles    

RANDOM SINGULAR INTEGRAL OF RANDOM PROCESS WITH SECOND ORDER MOMENT

 WANG Chuan-Rong   

  1. Department of Mathematics, Fuzhou University, Fuzhou 350002, China
  • Online:2005-04-20 Published:2005-04-20
  • Supported by:

    The project is supported by the NSF of China (10271098) and the Education
    Foundation of Fujian (JB02083) and Science & Technical Development Foundation of Fuzhou University (2003
    xy-11).

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 H (L)(m, s). Then Plemelj formula and some
other properties for random singular integral are proved.

Key words: Random singular intergral, second order moment, Plemelj formula

CLC Number: 

  • 30E25
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