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The Zeros of Holomorphic Functions in Strictly Pseudoconvex Domains

Name: The Zeros of Holomorphic Functions in Strictly Pseudoconvex Domains
Creator: Lawrence Gruman
Keywords: Holomorphic functions of several complex variables, 4. Education, Pseudoconvex domains, 0101 mathematics, 01 natural sciences

The zeros of holomorphic functions in strictly pseudoconvex domains

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1975Publisher:JSTORJournal:Transactions of the American Mathematical Society, volume 207, page 163 (issn: 0002-9947,

Authors: Lawrence Gruman;

doi: 10.2307/1997172 , 10.1090/s0002-9947-1975-0382725-x

The Zeros of Holomorphic Functions in Strictly Pseudoconvex Domains

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Abstract

We determine a sufficient condition on a positive divisor in certain strictly pseudoconvex domains in C n {{\mathbf {C}}^n} such that there exists a function in the Nevanlinna class which determines the divisor.

Keywords

Holomorphic functions of several complex variables, Pseudoconvex domains

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