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.
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.
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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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