Differentiability and Dimension of Some Fractal Fourier Series

@article{Chamizo1999DifferentiabilityAD,
  title={Differentiability and Dimension of Some Fractal Fourier Series},
  author={Fernando Chamizo and Antonio Manj{\'o}n-Cabeza C{\'o}rdoba},
  journal={Advances in Mathematics},
  year={1999},
  volume={142},
  pages={335-354}
}
Taking into account that the frequencies of Fourier expansions are integers it is not surprising that some arithmetical results play an important role in many theorems and examples in harmonic analysis. This relation is even clearer from the historical point of view and Hardy and Littlewood can be considered at the same time as founders of a substantial part of harmonic analysis and analytic number theory. For instance, in [Ha-Li] they considered 

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