关于函数的傅立叶级数继续单模
Sur les séries de Fourier des fonctions continues unimodulaires
摘要:
具有常数绝对值的连续函数的傅里叶级数具有有趣的性质:根据本文的主要定理,如果具有正指数的系数关于某个权重(指数的任何实正幂)是平方可和的,则对于负指数也是如此。该结果推广到VMO,而不推广到有界可测函数.
英文摘要:
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.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。