Berichtigung zu "Zur Theorie der eindeutigen analytischen Functionen".
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Paul Stäckel (1893)
Journal für die reine und angewandte Mathematik
Frédéric Bayart (2006)
Revista Matemática Complutense
We study boundary properties of universal Taylor series. We prove that if f is a universal Taylor series on the open unit disk, then there exists a residual subset G of the unit circle such that f is unbounded on all radii with endpoints in G. We also study the effect of summability methods on universal Taylor series. In particular, we show that a Taylor series is universal if and only if its Cesàro means are universal.
Richard Bieberich (1979)
Publications de l'Institut Mathématique
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