[Fonctions continues avec des séries de Fourier universellement divergentes sur des petites parties du cercle]
Nous démontrons pour quasi toutes les fonctions continues sur le cercle unitaire que, pour de nombreuses petites parties E du cercle, les sommes partielles de leurs séries de Fourier présentent certaines propriétés d'universalité sur E.
It is shown that quasi all continuous functions on the unit circle have the property that, for many small subsets E of the circle, the partial sums of their Fourier series considered as functions restricted to E exhibit certain universality properties.
Accepté le :
Publié le :
Jürgen Müller 1
@article{CRMATH_2010__348_21-22_1155_0, author = {J\"urgen M\"uller}, title = {Continuous functions with universally divergent {Fourier} series on small subsets of the circle}, journal = {Comptes Rendus. Math\'ematique}, pages = {1155--1158}, publisher = {Elsevier}, volume = {348}, number = {21-22}, year = {2010}, doi = {10.1016/j.crma.2010.10.026}, language = {en}, }
TY - JOUR AU - Jürgen Müller TI - Continuous functions with universally divergent Fourier series on small subsets of the circle JO - Comptes Rendus. Mathématique PY - 2010 SP - 1155 EP - 1158 VL - 348 IS - 21-22 PB - Elsevier DO - 10.1016/j.crma.2010.10.026 LA - en ID - CRMATH_2010__348_21-22_1155_0 ER -
Jürgen Müller. Continuous functions with universally divergent Fourier series on small subsets of the circle. Comptes Rendus. Mathématique, Volume 348 (2010) no. 21-22, pp. 1155-1158. doi : 10.1016/j.crma.2010.10.026. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.10.026/
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