3

Part of 2009 IMS

Problems(1)

Analytic on C excluding countably many points

Source: IMS 2009

A\subset \mathbb C

be a closed and countable set. Prove that if the analytic function

f: \mathbb C\backslash A\longrightarrow \mathbb C

is bounded, then

f

functionalgebradomaincalculusintegrationtopologyFunctional Analysis