Comonotonicity: Difference between revisions

Latest revision as of 10:18, 4 May 2014

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-In mathematics, especially [[several complex variables]], the '''Behnke–Stein theorem'''<!--, named after [[?????? Behnke]] and [[?????? Stein]], --> states that a union of an increasing sequence <math>G_k</math> (i.e., <math>G_k \subset G_{k + 1}</math>) of [[domain of holomorphy|domains of holomorphy]] is again a domain of holomorphy.
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-This is related to the fact that an increasing union of [[pseudoconvex domain]]s 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 ==
-{{PlanetMath attribution|id=6061|title=Behnke-Stein theorem}}
-{{DEFAULTSORT:Behnke-Stein theorem}}
-[[Category:Several complex variables]]
-[[Category:Theorems in complex analysis]]
-{{mathanalysis-stub}}

Comonotonicity: Difference between revisions

Latest revision as of 10:18, 4 May 2014

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