On almost everywhere convergence of strong arithmetic means of Fourier series

@article{Wilson2013OnAE,
  title={On almost everywhere convergence of strong arithmetic means of Fourier series},
  author={Bobby Wilson},
  journal={Transactions of the American Mathematical Society},
  year={2013},
  volume={367},
  pages={1467-1500}
}
  • Bobby Wilson
  • Published 2013
  • Mathematics
  • Transactions of the American Mathematical Society
This article establishes a real-variable argument for Zygmund's theorem on almost everywhere convergence of strong arithmetic means of partial sums of Fourier series on $\mathbb{T}$, up to passing to a subsequence. Our approach extends to, among other cases, functions that are defined on $\mathbb{T}^d$, which allows us to establish an analogue of Zygmund's theorem in higher dimensions. 
7 Citations
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