“Behnke–Stein theorem”的意思、由来-开放百科全书

词条

Behnke–Stein theorem

释义

References

In mathematics, especially several complex variables, the Behnke–Stein theorem states that a union of an increasing sequence (i.e., ) of domains of holomorphy is again a domain of holomorphy.

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.

References

2 : Several complex variables|Theorems in complex analysis

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