Division of cauchy-riemann functions on hypersurfaces

  • Roman Dwilewicz
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1039)


In this paper we discuss the problem of division of two CR functions defined on a smooth hypersurface having the same zero sets. We prove that if the CR differentials of the functions f,g are not singular on the hypersurface, then the quotients f/g, g/f can be extended to smooth CR functions on the whole hypersurface.


Complex Manifold Normal Bundle Explicit Definition Levi Form Smooth Hypersurface 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1983

Authors and Affiliations

  • Roman Dwilewicz
    • 1
  1. 1.Institute of MathematicsUniversity of WarsawWarszawaPoland

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