Weighted polynomial approximation, quasianalyticity and analytic continuation.
Asymptotic values and the growth of analytic functions in spiral domains.
In this note we present a simple proof of a theorem of Hornblower which characterizes those functions analytic in the open unit disk having asymptotic values at a dense set in the boundary. Our method is based on a kind of ∂-mollification and may be of use in other problems as well.
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