Discrete problems in analysis and arithmetic Ramsey theory

分析与算术中的离散问题 拉姆齐理论

• 批准号: 371993-2009
• 负责人: Magyar, Akos
• 金额: $ 2.04万
• 依托单位: University of British Columbia
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2012
• 资助国家: 加拿大
• 起止时间: 2012-01-01 至 2013-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=503697
• 关键词: Discrete; problems; analysis; arithmetic; Ramsey

Discrete problems in harmonic analysis, where the underlying space is the set of integers or integer points, have played an increasingly important role over the past twenty years. Besides their own intrinsic interests, they have appeared on the interface of harmonic analysis and other fields, such as analytic number theory, combinatorics and ergodic theory . The proposed research concerns two aspects of the above very general area.

调和分析中的离散问题（其基础空间是整数或整数点的集合）在过去二十年中发挥着越来越重要的作用。除了它们自己的内在兴趣之外，它们还出现在调和分析和其他领域的接口上，例如解析数论、组合学和遍历理论。拟议的研究涉及上述非常普遍的领域的两个方面。