Complex analysis and spectral theory

复分析和谱理论

• 批准号: RGPIN-2015-04545
• 负责人: Ransford, Thomas
• 金额: $ 1.82万
• 依托单位: Université Laval
• 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=635233
• 关键词: Complex; analysis; spectral; theory

The goal of my research is to develop and apply methods in complex analysis and potential theory to solve problems in other areas of mathematics, in particular in operator theory and spectral theory. This proposal outlines three specific projects on which I plan to work in the next few years: (1) analytic capacity, (2) Dirichlet spaces and (3) pseudospectra. Each project contains a component for the training of research students or postdoctoral fellows.

我的研究目标是开发和应用复分析和势论中的方法来解决其他数学领域的问题，特别是算子理论和谱理论。该提案概述了我计划在未来几年开展的三个具体项目：（1）分析能力，（2）狄利克雷空间和（3）伪谱。每个项目都包含研究生或博士后培训的组成部分。