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From: achille on 8 Aug 2010 21:34 On Aug 9, 8:47 am, achille <achille_...(a)yahoo.com.hk> wrote: > > If it is (2), the map g one seek is one defined and holomorphic > over a tubular neighbour of the circle and bijective when one > restrict it to the unit circle. One can extend it to a holomorphic > function over D using Cauchy integral formula and with minor > modification, above argument still applies. > Forget what I say here! It is not true one can always 'extend it to a holomorphic function over D using Cauchy integral formula'. Sorry for the confusion ;-p
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