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Peer reviewed
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Nestoridis, V.
Analysis mathematica (Budapest), 06/2018, Volume: 44, Issue: 2Journal Article
In this paper I present my first proof regarding the existence of universal Taylor series on the disc where the universal approximation was required on the boundary as well. It is a modification of a construction giving a negative answer to a question of S. Pichorides, where the approximation was valid only on the boundary of the disc. There was no use of Baire’s theorem in the above proofs. J.-P. Kahane suggested to use Baire’s theorem which yields stronger results with simpler proofs. Later, Baire’s theorem was systematically used in order to establish new generic universalities.
