Mathematical Sciences: Operator Theory and Analytic Functions

这个研究项目考察了不变子空间 解析Hilbert空间上乘法算子的结构 功能协调发展的 研究将涉及多种病理， 在多项式的均方闭包空间上， 关于单位圆盘上的测度;不变子空间 由多个边界点产生的Bergman空间; 多项式空间度量准则的发现 渐近核函数的推广 T的估计。从特伦特空间到一般伯格曼空间。 这项研究是在一般的数学领域称为 “现代分析”。 许多现代分析关注的是 函数或解析算子的空间 空间 现代分析在物理学中有许多应用， 几何

This research project examines the invariant subspace structure of multiplication operators on Hilbert spaces of analytic functions. Research will involve multiple pathologies that arise on a space of the mean-square closure of the polynomials with respect to measures on the unit disk; invariant subspaces in Bergman spaces which arise from multiple boundary points; the discovery of metric criterion for the space of polynomial approximants; and the generalization of asymptotic kernel function estimates of T. Trent to general Bergman spaces. This research is in the general mathematical area called 'modern analysis'. Much of modern analysis concerns the study of the spaces of functions or the analytic operators on a specified space. Modern analysis has many applications for physics and geometry.