Analytic function: Difference between revisions

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Examples: noted test functions as example of non-analytic functions
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* Zero sets of complex analytic functions in more than one variable are never [[discrete space|discrete]] due to [[Hartogs's extension theorem]].
* [[Domain of holomorphy|Domains of holomorphy]] for single valued functions consist of arbitrary open sets. However, in several complex variables, the characterization of domains of holomorphy leads to the notion of [[pseudoconvexity]].
 
==See also==