Classes of operators on holomorphic function spaces with ties to geometry, measure theory and mathematical physics

与几何、测度论和数学物理相关的全纯函数空间上的算子类

• 批准号: 105467-2011
• 负责人: Zorboska, Nina
• 金额: $ 0.73万
• 依托单位: University of Manitoba
• 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=475294
• 关键词: Classes; operators; holomorphic; function; spaces

The proposed research program is in the area of mathematics that explores the connections between two important mathematical objects: functions and operators. While functions have been part of mathematics and other sciences throughout history, the theory of operators is part of modern Mathematics that has been historically motivated by its applications to modern Physics. Operator theory is also closely related to other more recent, rapidly expanding areas of applied research such as control theory, quantum information and dynamical systems.

拟议的研究计划是在数学领域，探讨两个重要的数学对象之间的连接：函数和运算符。虽然函数在历史上一直是数学和其他科学的一部分，但算子理论是现代数学的一部分，在历史上一直受到其在现代物理学中的应用的推动。算子理论也与其他最近迅速扩展的应用研究领域密切相关，如控制理论，量子信息和动力系统。