隨機解析函數的Banach空間理論中的若干問題

We propose to study random analytic functions from a Banach space viewpoint. This will extend the existing theory of random analytic functions from individual functions to spaces of functions. And this project will apply abstract probability theory on Banach spaces to concrete spaces of analytic functions. The topics include the characterization of random analytic functions with a given growth rate, the distribution of their zero sets, and the characterization of random Dirichelt multipliers.