Uniqueness Theorems for Subharmonic and Holomorphic Functions of Several Variables on a Domain
Complex Variables
2016-06-14 v2
Abstract
We establish a general uniqueness theorem for subharmonic functions of several variables on a domain. A corollary from this uniqueness theorem for holomorphic functions is formulated in terms of the zero subset of holomorphic functions and restrictions on the growth of functions near the boundary of domain.
Keywords
Cite
@article{arxiv.1605.00112,
title = {Uniqueness Theorems for Subharmonic and Holomorphic Functions of Several Variables on a Domain},
author = {Bulat Khabibullin and Nargiza Tamindarova},
journal= {arXiv preprint arXiv:1605.00112},
year = {2016}
}
Comments
9 pages; submitted to Azerbaijan Journal of Mathematics