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Le capo du troupeau des séries de Fourier

2012/11/16 by Alexis Marin, Marin, Alexis
Mathematics · #42-01 #42-03 (Secondary) #42A20 (Primary) 42-00 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:42-00 #msc:42-01 #msc:42-03 #msc:42A20

paper · pdf · doi:10.48550/arxiv.1211.3914

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)

arxiv created 2013/06/10 · arxiv updated 2013/06/11

Abstract

A glimpse at ∑sin(kx)\overk 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.

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