Plurisubharmonic function: Difference between revisions

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Properties: "connected open ___domain" is redundant, since a ___domain is an open connected set.
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Examples: Fixed a typo.
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for some Kähler form <math>\omega</math>, then <math>g</math> is plurisubharmonic, which is called Kähler potential. These can be readily generated by applying the [[ddbar lemma]] to Kähler forms on a Kähler manifold.
 
'''Relation to Dirac Delta:''' On 1-dimensional complex Euclidean space <math>\mathbb{C}^1</math> , <math>u(z) = \log(|z)|</math> is plurisubharmonic. If <math>f</math> is a C<sup>∞</sup>-class function with [[compact support]], then [[Cauchy integral formula]] says
::<math>f(0)=\frac{1}{2\pi i}\int_D\frac{\partial f}{\partial\bar{z}}\frac{dzd\bar{z}}{z}</math>
which can be modified to