Symmetries in physics applications

物理应用中的对称性

• 批准号: 9772-2011
• 负责人: Patera, Jiri
• 金额: $ 2.7万
• 依托单位: Université de Montréal
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2014
• 资助国家: 加拿大
• 起止时间: 2014-01-01 至 2015-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=544651
• 关键词: Symmetries; physics; applications

Fourier methods of decomposition of data, sampled on multidimensional lattices of any symmetry, are developed by means of introducing several new families of functions orthogonal on the lattices. Related families of orthogonal polynomials are to be described and compared with known polynomials. Several of the families are new. Discretization of the functions and their polynomials is an important original part of the project.

本文通过引入几个新的正交函数族，发展了在任意对称的多维格上采样的数据的傅立叶分解方法。 正交多项式的相关家庭被描述和已知的多项式进行比较。有几个家庭是新的。函数及其多项式的离散化是该项目的重要原创部分。