Divergence of Fourier Series
Canadian mathematical bulletin, Tome 26 (1983) no. 3, pp. 328-330
Voir la notice de l'article provenant de la source Cambridge University Press
This note contains a strengthened version of the following well-known theorem: there exists a continuous function whose Fourier series diverges at a point.
Oberlin, Daniel M. Divergence of Fourier Series. Canadian mathematical bulletin, Tome 26 (1983) no. 3, pp. 328-330. doi: 10.4153/CMB-1983-053-6
@article{10_4153_CMB_1983_053_6,
author = {Oberlin, Daniel M.},
title = {Divergence of {Fourier} {Series}},
journal = {Canadian mathematical bulletin},
pages = {328--330},
year = {1983},
volume = {26},
number = {3},
doi = {10.4153/CMB-1983-053-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-053-6/}
}
[1] 1. Katznelson, Y., An Introduction to Harmonic Analysis, John Wiley and Sons, New York, 1968. Google Scholar
[2] 2. Oberlin, D., A Rudin-Carleson theorem for uniformly convergent Taylor series, Michigan Math. J. 27 (1980), 309-313. Google Scholar
Cité par Sources :