Division of Cauchy-Riemann Functions on Hypersurfaces

Author

Roman Dwilewicz, Missouri University of Science and TechnologyFollow

Abstract

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.

Recommended Citation

R. Dwilewicz, "Division of Cauchy-Riemann Functions on Hypersurfaces," Lecture Notes in Mathematics, Springer Verlag, Jan 1982.

The definitive version is available at https://doi.org/10.1007/BFb0073363

Department(s)

Mathematics and Statistics

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1982 Springer Verlag, All rights reserved.

Publication Date

01 Jan 1982