Geodesic
Universally divergent Fourier series via Landau's extremal functions
Commentationes Mathematicae Universitatis Carolinae, Tome 56 (2015) no. 2, pp. 159-168.

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We prove the existence of functions $f\in A(\mathbb D)$, the Fourier series of which being universally divergent on countable subsets of $\mathbb T = \partial \mathbb D$. The proof is based on a uniform estimate of the Taylor polynomials of Landau's extremal functions on $\mathbb T\setminus\{1\}$.
DOI : 10.14712/1213-7243.2015.115
Classification : 30B30, 42A16, 47B38
Keywords: Fourier series; universal functions; Landau's extremal functions 
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Herzog, Gerd; Kunstmann, Peer Chr. Universally divergent Fourier series via Landau's extremal functions. Commentationes Mathematicae Universitatis Carolinae, Tome 56 (2015) no. 2, pp. 159-168. doi : 10.14712/1213-7243.2015.115. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.115/

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