The Role of Representation Theory in Problems of Harmonic Analysis Related to Amenability and Locally Compact Groups

表示论在与顺应性和局部紧群相关的调和分析问题中的作用

• 批准号: RGPIN-2015-04007
• 负责人: SanganiMonfared, Mehdi
• 金额: $ 0.8万
• 依托单位: University of Windsor
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2017
• 资助国家: 加拿大
• 起止时间: 2017-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=635259
• 关键词: Role; Representation; Theory; Problems; Harmonic

My research involves ideas and problems from a part of mathematics, which is known as functional and harmonic analysis. My colleagues and I have developed several new ideas in representation theory of Banach algebras and applied them in diverse questions such as ideal structure of the second duals, topological centers, character amenability, and topologically introverted spaces.

我的研究涉及到数学中的一个部分，即泛函和调和分析，涉及到思想和问题。我和我的同事们在Banach代数的表示理论中发展了几个新的想法，并将它们应用于各种问题，如第二对偶的理想结构、拓扑中心、特征随和和拓扑内倾空间。