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Paul du Bois-Reymond

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Paul David Gustav du Bois-Reymond (2 December 1831 – 7 April 1889) was a German mathematician who was born in Berlin and died in Freiburg. He was the brother of Emil du Bois-Reymond.His thesis was concerned with the mechanical equilibrium of fluids. He worked on the theory of functions and in mathematical physics. His interests included Sturm–Liouville theory, integral equations, variational calculus, and Fourier series. In this latter field, he was able in 1873 to construct a continuous function whose Fourier series is not convergent. His lemma defines a sufficient condition to guarantee that a function vanishes almost everywhere.Du Bois-Reymond also established that a trigonometric series that converges to a continuous function at every point is the Fourier series of this function.
Paul du Bois-Reymond
Birth date 1831-12-02
Birth year 1831
Death date 1889-04-07
Death year 1889
English Wikipedia http://en.wikipedia.org/wiki/Paul_du_Bois-Reymond
Spanish wikipedia http://es.wikipedia.org/wiki/Paul_du_Bois-Reymond
Wiki page external link http://gallica.bnf.fr/notice?N=FRBNF30360063 http://resolver.sub.uni-goettingen.de/purl?PPN314405518

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Fecha publicación: 3.9.2014

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