On some applications of probability to analysis and number theory
On some applications of probability to analysis and number theory
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概率在分析和数论中的一些应用
DOI：
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发表时间：
1964
期刊：
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通讯作者：
P. Erdös
中科院分区：
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作者：
P. Erdös
在一篇短文或演讲中对这些主题进行调查是完全不可能的，我只能通过对我将要讨论的主题做出一些武断的限制来成功。首先，我将仅限于我所研究的问题和结果，其次，我不会讨论最近出现的评论文章 [1] 中讨论过的主题。概率方法用于分析已经有几十年了。只要说出佩利、维纳、柯尔莫戈洛夫、齐格蒙德、塞勒姆、斯坦豪斯、卡茨、德沃列茨基、卡哈内以及许多其他人的名字就足够了。我将限制自己回答一些我和我的合作者共同研究过的问题
It would be quite impossible to give a survey of these subjects in a short article or lecture, and I will only succeed by making some arbitrary restrictions on the topics with which I will deal . First of all, I will restrict myself to problems and results on which I worked, and secondly, I will not discuss subjects which have been discussed in recently appeared review articles [1] . Probabilistic methods have been used in analysis for several decades ; it suffices to name Paley, Wiener, Kolmogoroff, Zygmund, Salem, Steinhaus, Kac, Dvoretzky, Kahane, and many others . I will restrict myself to some questions my collaborators and I worked on for several