Applications of Banach algebra and operator space techniques in abstract harmonic analysis

Banach代数和算子空间技术在抽象调和分析中的应用

• 批准号: 90749-2009
• 负责人: Forrest, Brian
• 金额: $ 1.6万
• 依托单位: University of Waterloo
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2011
• 资助国家: 加拿大
• 起止时间: 2011-01-01 至 2012-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=475208
• 关键词: Applications; Banach; algebra; operator; space

Fourier analysis has historically been used to study problems from classical physics. In particular, those physical processes that invovle waves of some form. The goal is to break complex information down into much easier to understand components. For example a sound can be decomposed into its natural harmonic frequencies. This information can then be used to reproduce the sound quite accurately. Moreover, this reproduction can often be achieved from a rather small portion of information.

从历史上看，傅立叶分析一直用于研究古典物理学的问题。特别是那些打击某种形式的波浪的物理过程。目的是将复杂的信息分解为更容易理解的组件。例如，声音可以分解为其自然谐波频率。然后，可以将这些信息非常准确地重现声音。此外，这种复制通常可以从一小部分信息中实现。