Affine-invariant Fourier Restriction for general varieties

一般簇的仿射不变傅里叶限制

• 批准号: 2097249
• 金额: --
• 依托单位: University of Edinburgh
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2018
• 资助国家: 英国
• 起止时间: 2018 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2097249
• 关键词: Affine; invariant; Fourier; Restriction; general

Affine-invariant harmonic analysis has emerged as a powerful perspective, unify-ing and making more robost many previous results which depended on curvaturedegeneracy of the underlying variety.Recemtly the classical Stein-Tomas argument establishing L 2 fourier restrictionestimates have been modified to give sharp estimates for a class of varieties with anyprescribed dimension, from curves to hypersurfaces. In this project, it is proposedthat an L 2 affine-invariant fourier restriction theory be developed for this class ofvarieties

仿射不变调和分析是一个强有力的观点，它统一和改进了许多以前依赖于簇的曲率退化的结果，最近，经典的Stein-Tomas证明L2傅立叶限制估计的论点被修正，给出了一类具有任意维数的簇（从曲线到超曲面）的精确估计。在这个项目中，我们提出了一个L2仿射不变的Fourier限制理论，