On a problem of Kahane in higher dimensions

Research output: Working paper

Abstract / Description of output

We characterise those real analytic mappings between any pair of tori which carry absolutely convergent Fourier series to uniformly convergent Fourier series via composition. We do this with respect to rectangular summation. We also investigate uniform convergence with respect to square sums and highlight the differences which arise.
Original languageEnglish
Number of pages66
Publication statusPublished - 16 Nov 2016

Keywords / Materials (for Non-textual outputs)

  • math.CA
  • 42B05, 42B08, 42B20


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