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Line 90: ==Analytic functions of several variables== One can define analytic functions in several variables by means of power series in those variables (see [[power series]]). Analytic functions of several variables have some of the same properties as analytic functions of one variable. However, especially for complex analytic functions, new and interesting phenomena show up ~~when working~~ in 2 or more complex dimensions: * Zero sets of complex analytic functions in more than one variable are never [[discrete space\|discrete]] due to [[Hartogs's extension theorem]].

Analytic function: Difference between revisions