Sur les séries de Fourier des fonctions continues unimodulaires

Details Sur les séries de Fourier des fonctions continues unimodulaires Sur les séries de Fourier des fonctions continues unimodulaires

2010-03-30

arxiv.org/abs/1003.5747v1

Mathematics

Classical Analysis and ODEs

This article will appear soon in Ann. Inst. Fourier.

Scientific paper

The Fourier series of continuous functions of constant absolute value have interesting properties : according to the main theorems of the article, if the coefficients with positive indexes are square-summable with respect to a certain weight (any real positive power of the index), the same is true for negative indexes. The result extends to VMO and does not to bounded measurable functions.

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