English

Le capo du troupeau des s\'eries de Fourier

Classical Analysis and ODEs 2013-06-11 v4

Abstract

A glimpse at sin(kx)k\sum{{\sin(kx)}\over{k}} gives a few lines exposition of Fourier series's quadratic mean convergence for square integrable functions and Dirichlet's convergence theorem of the Fourier serie of a piecewise differentiable function with integrable derivative.

Keywords

Cite

@article{arxiv.1211.3914,
  title  = {Le capo du troupeau des s\'eries de Fourier},
  author = {Alexis Marin},
  journal= {arXiv preprint arXiv:1211.3914},
  year   = {2013}
}

Comments

6 pages in french (one exposes "sophomore's Fourier's series", two survey the literature, two for details and table of contents at last page)