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Given $G$ a bounded domain, $f,g$, entire functions on whole $\overline{G}$

What is the meaning of $\overline{G}$? Is it the complement to the inside of the bounded domain?

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    The meaning of $\overline G$ now being clear, I'm still puzzled by "f,g entire functions on whole $\overline G$". Normally, an *entire function* means a function that is holomorphic on $\mathbb C$. So there is no point in saying "entire on ..." unless "entire" is actually a mistranslation.2012-09-14

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