Behnke–Stein theorem
id:
behnke-stein-theorem-193-12480973
title:
Behnke–Stein theorem
text:
In mathematics, especially several complex variables, the Behnke–Stein theorem states that a union of an increasing sequence G k ⊂ C n of domains of holomorphy is again a domain of holomorphy. It was proved by Heinrich Behnke and Karl Stein in 1938. This is related to the fact that an increasing union of pseudoconvex domains is pseudoconvex and so it can be proven using that fact and the solution of the Levi problem. Though historically this theorem was in fact used to solve the Levi problem, an
brand slug:
wiki
category slug:
encyclopedia
description:
Theorem in mathematics about unions of domains of holomorphy
original url:
https://en.wikipedia.org/wiki/Behnke%E2%80%93Stein_theorem
date created:
date modified:
2023-06-21T16:48:18Z
main entity:
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image:
fields total:
13
integrity:
14