English

$\mathbf L^1$ completeness for Fourier series

Classical Analysis and ODEs 2017-09-27 v1

Abstract

We note that the Fubini theorem may be used to prove that an L1L^1 function is determined by its Fourier coefficients.

Keywords

Cite

@article{arxiv.1709.09146,
  title  = {$\mathbf L^1$ completeness for Fourier series},
  author = {P. L. Robinson},
  journal= {arXiv preprint arXiv:1709.09146},
  year   = {2017}
}
R2 v1 2026-06-22T21:55:38.803Z