Geodesic
The Gibbs Phenomenon for Generalized Taylor and Euler Transforms
Canadian journal of mathematics, Tome 27 (1975) no. 2, pp. 384-395

Voir la notice de l'article provenant de la source Cambridge University Press

Let f be a real-valued function satisfying the Dirichlet conditions in a neighborhood of x = x0, at which point f has a jump discontinuity. If {Sn(x)} is the sequence of partial sums of the Fourier series of f at x, then {Sn(x)} cannot converge uniformly at x — x0. Moreover, for any number , there exists a sequence {tn}, where tn → x0 and 
Powell, Robert E.; Shoop, Richard A. The Gibbs Phenomenon for Generalized Taylor and Euler Transforms. Canadian journal of mathematics, Tome 27 (1975) no. 2, pp. 384-395. doi: 10.4153/CJM-1975-047-3
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