Endomorphisms, transfer operators and Hilbert modules

自同态、转移算子和希尔伯特模

• 批准号: DP0772093
• 负责人: Prof Iain Raeburn
• 金额: $ 25.13万
• 依托单位: University of Wollongong
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2007
• 资助国家: 澳大利亚
• 起止时间: 2007-09-01 至 2011-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP0772093
• 关键词: Endomorphisms; transfer; operators; Hilbert; modules

This project is in the general area of functional analysis, an area where both Newcastle University and the University of New South Wales have strong international reputations. The aim of the project is to study irreversible dynamics in the presence of transfer operators, as recently introduced by Professor Exel. The motivation comes from a variety of examples arising in different areas of mathematics, including number theory and graph theory. It is hoped that the results will give new understanding of the algebraic and analytic structure underlying the multi-resolution analyses used in approximation theory and Fourier analysis. This project will help ensure that Australia has a strong foundation in mathematics which will foster innovation.

这个项目是在功能分析的一般领域，其中纽卡斯尔大学和新南威尔士大学都有很强的国际声誉。该项目的目的是研究不可逆动力学的转移算子的存在下，最近介绍的教授埃克塞尔。动机来自各种各样的例子出现在不同的数学领域，包括数论和图论。希望这些结果能对近似理论和傅立叶分析中所使用的多分辨分析的代数和解析结构有新的理解。该项目将有助于确保澳大利亚在数学方面有一个坚实的基础，这将促进创新。