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.

在过去的二十年里，调和分析中的离散问题扮演着越来越重要的角色，其基本空间是一组整数或整点。除了他们自身的兴趣之外，他们还出现在调和分析和其他领域的界面上，如解析数理论、组合学和遍历理论。拟议的研究涉及上述非常一般领域的两个方面。