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Eigenray
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 Re: Maximum on noncompact set   « on: Apr 9th, 2009, 6:27pm » Quote Modify

You mean f extends continuously to the boundary?  (This isn't necessarily true.)

Consider g(z) = f(1/z).  This is clearly analytic inside B(0,1/a), except possibly at 0.  But show it's analytic there too.
 « Last Edit: Apr 9th, 2009, 6:29pm by Eigenray » IP Logged
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