雅克·佩里埃和里斯的产品
Jacques Peyrière et les produits de Riesz
摘要：
雅克Peyrière研究Riesz产品与一组给定的频率和相应的系数：相互奇异性或绝对连续性的措施所定义的两个产品，豪斯多夫维数的集进行这种措施，多重分形分析。本文从Peyrière的结果出发，给出了研究同样问题的新方法。由于Riesz积也是Sidon集的一个重要工具，因此给出并评论了Pisier和Bourgain利用拟独立集对Sidon集的刻画。最后给出了一个<<big>>拟独立集的初等构造.报纸是法文的。一个英文导言解释了为什么它将不会在它打算为之撰稿的书中出版。
英文摘要：
Jacques Peyrière investigated Riesz products associated with a given set of frequencies and the corresponding coefficients : mutual singularity or absolute continuity of the measures defined by two such products, Hausdorff dimensions of the sets carrying such measures, multifractal analysis. The present expository paper starts from Peyrière's results and give some new ways to investigate the same questions. Since Riesz products are also an essential tool for Sidon sets, the characterisations of Sidon sets by Pisier and Bourgain, using quasi-independent sets, are given and commented. The paper ends with an elementary construction of a <<big>> quasi-independent set. The paper is in French. An introduction, in English, explains why it will not be published in the book to which it was intended to contribute.
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。
