Hartogs’ theorem

Let Un (n>1) be an open set, and let K be a compact subset of U such that U-K is connected. Then any holomorphic functionMathworldPlanetmath on U-K extends uniquely to a holomorphic function on U.

Title Hartogs’ theorem
Canonical name HartogsTheorem
Date of creation 2013-03-22 13:21:57
Last modified on 2013-03-22 13:21:57
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 10
Author mathcam (2727)
Entry type Theorem
Classification msc 32H02
Synonym Hartogs’ Phenomenon