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Division of cauchy-riemann functions on hypersurfaces

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Analytic Functions Błażejewko 1982

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1039))

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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.

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References

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Author information

Authors and Affiliations

  1. Institute of Mathematics, University of Warsaw, Pałac Kultury i Nauki, IXp., P1-00-901, Warszawa, Poland

    Roman Dwilewicz

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  1. Roman Dwilewicz
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Editor information

Editors and Affiliations

  1. Institute of Mathematics of the Polish Academy of Sciences, Łódź Branch, Narutowicza 56, 90-136, Łódź, Poland

    Julian Ławrynowicz

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© 1983 Springer-Verlag Berlin Heidelberg

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Dwilewicz, R. (1983). Division of cauchy-riemann functions on hypersurfaces. In: Ławrynowicz, J. (eds) Analytic Functions Błażejewko 1982. Lecture Notes in Mathematics, vol 1039. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073363

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  • DOI: https://doi.org/10.1007/BFb0073363

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12712-3

  • Online ISBN: 978-3-540-38697-1

  • eBook Packages: Springer Book Archive

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