Fock空间（也称Fischer空间或Segal-Bargmann空间）是高斯测度模平方可积的整函数全体组成的Hilbert空间。它与量子力学、群表示论、调和分析、偏微分方程等学科有着密切的联系。本项目拟研究Fock空间的零集及其子集的分析与几何特征及Fock空间上几类积分算子的算子论性质。本项目研究有助于丰富Fock空间上的算子理论及促进Fock空间算子理论在相关学科的应用。

The Fock space (also known as Fischer space or Segal-Bargmann space) is a Hilbert space of entire functions which are modular square integrable with Gaussian measure. It is closely related to quantum mechanics, group representation theory, harmonic analysis, partial differential equations and other subject. We intends to study the analysis and geometric characteristics of zeros and their subsets for the Fock space and a classes of integral operators in the Fock space. This project is helpful to enrich the operator theory in the Fock space and promote the application in related subjects.