Acta mathematica scientia,Series B ›› 1998, Vol. 18 ›› Issue (2): 227-240.

• Articles • Previous Articles    

SINGULAR INTEGRAL OPERATORS AND SINGULAR QUADRATURE OPERATORS ASSOCIATED WITH SINGULAR INTEGRAL EQUATIONS

Du Jinyuan   

  1. Department of Mathematics, Wuhan University, Wuhan 430072, China
  • Received:1996-10-10 Online:1998-06-25 Published:1998-06-25
  • Supported by:
    Supported by the National Natural Science Foundation of China and the Foundation of the State Education Commission of China

Abstract: In this paper, the author discusses some singular integral operators, singular quadrature operators and discretization matrices associated with singular integral equations with Cauchy kernels, and obtain some useful properties for them. These results improve both the classical theory of singular integral equation and the classical theory of singular quadrature.

Key words: Singular integral operators, singular quadrature operators, discretization matrices

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