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Suppose F is normal in H(G) and 2 is open in Csuch that f(G) C 2 for every f in F. Show that if

   

  

Suppose F is normal in H(G) and 2 is open in Csuch that f(G) C 2 for every f in F. Show that if g is analytic on 2 and is bounded on hounded sets then tg o f:fe F) is normal.

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