Division of Cauchy-Riemann Functions on Hypersurfaces
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.
R. Dwilewicz, "Division of Cauchy-Riemann Functions on Hypersurfaces," Lecture Notes in Mathematics, Springer Verlag, Jan 1982.
The definitive version is available at http://dx.doi.org/10.1007/BFb0073363
Mathematics and Statistics
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© 1982 Springer Verlag, All rights reserved.