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Journal d'Analyse Mathématique

, Volume 137, Issue 1, pp 57–71 | Cite as

On universality and convergence of the Fourier series of functions in the disc algebra

  • C. Papachristodoulos
  • M. PapadimitrakisEmail author
Article
  • 30 Downloads

Abstract

We construct functions in the disc algebra whose Fourier series are pointwise universal on countable and dense sets and their sets of divergence contain Gδ and dense sets and have Hausdorff dimension zero. We also see that some classes of closed sets of measure zero do not accept uniformly universal Fourier series, although all such sets accept divergent Fourier series.

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Copyright information

© The Hebrew University of Jerusalem 2019

Authors and Affiliations

  1. 1.Department of Mathematics and Applied MathematicsUniversity of CreteIraklio, CreteGreece

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