Universal Taylor Series Without Baire and the Influence of J.-P. Kahane
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DOI: 10.1007/s10476-018-0208-y
Abstract: 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… read more here.
Keywords: universal taylor; taylor series; baire theorem; kahane ... See more keywords
A generalization of a Baire theorem concerning barely continuous functions
Sign Up to like & getrecommendations! Published in 2019 at "Topology and its Applications"
DOI: 10.1016/j.topol.2019.03.016
Abstract: Abstract We prove that if X is a paracompact space, Y is a metric space and f : X → Y is a functionally fragmented map, then (i) f is σ-discrete and functionally F σ… read more here.
Keywords: continuous functions; baire; baire theorem; barely continuous ... See more keywords