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arXiv · 0806.1294

Sur la convergence des séries trigonométriques qui servent à représenter une fonction arbitraire entre des limites données

Peter Gustav Lejeune Dirichlet
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Abstract

Dirichlet proves the general convergence of Fourier series, after pointing out errors in an earlier attempt by Cauchy. We transcribed from Crelle's Journal (1829) with numerous typographical corrections, and added a completed bibliography. Dirichlet prouve la convergence générale de la séries de Fourier, après avoir montré des erreurs dans un essai par Cauchy. Nous avons transcrit de Crelle's journal (1829) avec de nombreuses corrections typographiques, et avons ajouté une bibliographie complète.

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Peter Gustav Lejeune Dirichlet. 2008-06-07. Sur la convergence des séries trigonométriques qui servent à représenter une fonction arbitraire entre des limites données. https://arxiv.org/abs/0806.1294

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