Spectral Theory and Complex Analysis

谱理论与复分析

• 批准号: CRC-2015-00246
• 负责人: Ransford, Thomas
• 金额: $ 14.57万
• 依托单位: Université Laval
• 依托单位国家: 加拿大
• 项目类别: Canada Research Chairs
• 财政年份: 2020
• 资助国家: 加拿大
• 起止时间: 2020-01-01 至 2021-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=695537
• 关键词: Spectral; Theory; Complex; Analysis

Spectral theory is the key to analyzing so-called linear systems, which abound in natural sciences, engineering, economics and computer science. Complex analysis is a far-reaching extension of the differential and integral calculus, applied to functions of a complex variable. The goal of the Canada Research Chair in Spectral Theory and Complex Analysis is to develop the techniques of complex analysis needed to solve problems in spectral theory, with a view to eventual applications to high-performance computation and other fields.

谱理论是分析所谓线性系统的关键，这种系统在自然科学、工程学、经济学和计算机科学中比比皆是。复变分析是微分学和积分学的延伸，应用于复变函数。加拿大光谱理论和复杂分析研究主席的目标是发展解决光谱理论问题所需的复杂分析技术，以期最终应用于高性能计算和其他领域。