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Universal functions on nonsimply connected domains

Antonios D. Melas — 2001

Annales de l’institut Fourier

We establish certain properties for the class 𝒰 ( Ω , ζ 0 ) of universal functions in Ω with respect to the center ζ 0 Ω , for certain types of connected non-simply connected domains Ω . In the case where / Ω is discrete we prove that this class is G δ -dense in H ( Ω ) , depends on the center ζ 0 and that the analog of Kahane’s conjecture does not hold.

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