The Spectral Theory and Harmonic Analysis of Geometric Differential Operators

几何微分算子的谱理论与调和分析

• 批准号: FT0990895
• 负责人: Prof Andrew Hassell
• 金额: $ 44.4万
• 依托单位: The Australian National University
• 依托单位国家: 澳大利亚
• 项目类别: ARC Future Fellowships
• 财政年份: 2010
• 资助国家: 澳大利亚
• 起止时间: 2010-03-01 至 2014-02-28
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/FT0990895
• 关键词: Spectral; Theory; Harmonic; Analysis; Geometric

The project will involve mathematical research of the highest international standard in two very active and far-reaching field of mathematics: quantum chaos, and harmonic analysis. Progress in these fields will have implications in areas such as communications technology (e.g. image compression), quantum theory, and mathematical analysis (e.g. partial differential equations).

该项目将涉及两个非常活跃和影响深远的数学领域的最高国际标准的数学研究：量子混沌和谐和分析。这些领域的进展将对通信技术(例如图像压缩)、量子理论和数学分析(例如偏微分方程式)等领域产生影响。