Subharmonic function: Difference between revisions

Revision as of 21:48, 18 November 2016

Revision as of 18:32, 26 November 2016

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*The pointwise maximum of two subharmonic functions is subharmonic.

*The limit of a decreasing sequence of subharmonic functions is subharmonic (or identically equal to <math>-\infty</math>).

*Subharmonic functions are not necessarily continuous in the usual topology, however one can introduce the [[fine topology]]{{dn|date=November 2016}} which makes them continuous.

==Examples==