Singular Integral Operators

  • Jean-Claude Nédélec
Part of the Applied Mathematical Sciences book series (AMS, volume 144)

Abstract

We present in this chapter the definition and the main properties of the singular integral operator. These results are quite classical and were first studied by Giraud [78] in France and then Calderon and Zygmund in the United States and Michlin in Russia. The present exposition uses some ideas of the notes of V. Neri and the book of E.M. Stein [142]. We establish some continuity results in Sobolev spaces for a class of singular integral operators and then deduce similar properties for the integral operators that we have encountered in the previous chapter.

Keywords

Integral Operator Compact Support Taylor Expansion Helmholtz Equation Singular Integral Operator 
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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Jean-Claude Nédélec
    • 1
  1. 1.Centre de Mathématiques AppliquéesEcole PolytechniquePalaiseau CedexFrance

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