An extension theorem for normal functions

Järvi, Pentti

doi:10.1090/S0002-9939-1988-0955002-8

An extension theorem for normal functions
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by Pentti Järvi

Proc. Amer. Math. Soc. 103 (1988), 1171-1174

DOI: https://doi.org/10.1090/S0002-9939-1988-0955002-8

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Abstract:

Given a domain $\Omega \subset {{\mathbf {C}}^n}$, an analytic subvariety $V$ of $\Omega$ and a normal function $f:\Omega \backslash V \to \widehat {\mathbf {C}}$, we show that $f$ can be extended to a holomorphic mapping ${f^*}:\Omega \to \widehat {\mathbf {C}}$ provided the singularities of $V$ are normal crossings.

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