RANDOM SINGULAR INTEGRAL OF RANDOM PROCESS WITH SECOND ORDER MOMENT

数学物理学报(英文版) ›› 2005, Vol. 25 ›› Issue (2): 376-384.

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RANDOM SINGULAR INTEGRAL OF RANDOM PROCESS WITH SECOND ORDER MOMENT

王传荣

出版日期:2005-04-20 发布日期:2005-04-20
基金资助:
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).

RANDOM SINGULAR INTEGRAL OF RANDOM PROCESS WITH SECOND ORDER MOMENT

WANG Chuan-Rong

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).

摘要/Abstract

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

Abstract:

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

中图分类号:

30E25

王传荣. RANDOM SINGULAR INTEGRAL OF RANDOM PROCESS WITH SECOND ORDER MOMENT[J]. 数学物理学报(英文版), 2005, 25(2): 376-384.

WANG Chuan-Rong. RANDOM SINGULAR INTEGRAL OF RANDOM PROCESS WITH SECOND ORDER MOMENT[J]. Acta mathematica scientia,Series B, 2005, 25(2): 376-384.

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RANDOM SINGULAR INTEGRAL OF RANDOM PROCESS WITH SECOND ORDER MOMENT

RANDOM SINGULAR INTEGRAL OF RANDOM PROCESS WITH SECOND ORDER MOMENT

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