本项目计划研究上半空间加权Hardy 空间的解析函数非切向边界值构成的广义解析信号, 这些解析函数的广义 Nevannlinna 分解与华生问题的关系, 找出一类基本广义解析信号使它的广义解析瞬时频率非负，和一些合适的广义解析信号分解成这类基本信号线性组合或用这些信号线性组合在加权Hardy 空间范数意义下逼近广义解析信号. 本项目也希望对Banach空间的华生问题给出有意义的解.

The project is to study analytic signs which are the non-tangential boundary values of analytic functions in weighted Hardy space on the upper- half space, a generalized Nevannlinna factorization of these analytic functions and relation with Watson's problem , to find a large class of generalized analytic signs that posses non-negative analytic Instantaneous Frequency and seek for adaptive analytic signals decomposition into the linear combination of such basic generalized analytic signals or approximation by these linear combination in the norm of weighted Hardy space. The project is also to give an interesting solution to Watson's problem in some Banach spaces.