Suppose that f C(-, ) and that for all a R. Prove that f is analytic on

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Suppose that f ˆˆ Cˆž(-ˆž, ˆž) and that
Suppose that f ˆˆ Cˆž(-ˆž, ˆž) and that
for all a

for all a ˆˆ R. Prove that f is analytic on (-ˆž, ˆž) and

Suppose that f ˆˆ Cˆž(-ˆž, ˆž) and that
for all a
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