Abstract harmonic analysis and operator algebras beyond groups and Hilbert spaces

超越群和希尔伯特空间的抽象调和分析和算子代数

• 批准号: 227043-2009
• 负责人: Runde, Volker
• 金额: $ 1.31万
• 依托单位: University of Alberta
• 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=503657
• 关键词: Abstract; harmonic; analysis; operator; algebras

Abstract harmonic analysis evolved out of classical Fourier analysis. It is the study of locally compact groups and the various Banach algebras associated with them. Through unitary representations of locally compact groups, there are strong links between abstract harmonic analysis and operator algebras on Hilbert space.

抽象调和分析是从经典傅里叶分析发展而来的。它是对局部紧群以及与之相关的各种巴拿赫代数的研究。通过局部紧群的酉表示，抽象调和分析与希尔伯特空间上的算子代数之间存在着紧密的联系。