In this expository paper one fundamental aspect of the theory, the construction of holomorphic functions with growth estimates to given zero sets, was selected as the central topic of the survey. In addition to two main theorems of value distribution are stated for a meromorphic map of a hermitian vector space into a complex projective space because of the fundamental importance of these theorems.

Reviews

"This monograph contains a survey of some recent research in the theory of distribution of values of holomorphic and meromorphic functions in \({\mathbf C}^n\). The main attention is on the question of the existence and integral representation of a function with given divisor."

-- L. I. Ronkin, Mathematical Reviews