Content deleted Content added
Replacing link to a redirect page with two links. |
No edit summary |
||
Line 10:
A complex analytic function of [[several complex variables]] is defined to be analytic and holomorphic at a point if it locally expandable (within a '''polydisk''', a [[cartesian product]] of [[disk]]s, centered at that point) as a convergent power series in the variables. This condition is stronger than the [[Cauchy-Riemann equations]]; in fact it can be stated
<blockquote style="padding: 1em; border: 2px dotted
''A function of several complex variables is holomorphic if and only if it satisfies the Cauchy-Riemann equations and is locally [[square-integrable]]''.
</blockquote>
| |||