Universal Faber Series with Hadamard-Ostrowski Gaps

摘要

For certain non-simply connected domains of even infinite connectivity, we prove that there exist holomorphic functions such that a) their Faber expansions with respect to suitable compact sets Γ have approximating properties outside their domain of holomorphy, and b) the coefficients of the Faber expansions have the property of Hadamard-Ostrowski gaps.