Uniqueness Theorems for Subharmonic and Holomorphic Functions of Several Variables on a Domain
arXiv:1605.00112
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.
9 pages; submitted to Azerbaijan Journal of Mathematics
Cited by in corpus (5)
- On the Distribution of Zero Sets of Holomorphic Functions
- On the Distribution of Zero Sets of Holomorphic Functions. II
- Distribution of zeros and masses for holomorphic and subharmonic functions. I. Hadamard- and Blaschke-type conditions
- Affine Balayage of Measures and Distribution of Riesz Measures of Subharmonic Functions
- Zero sets of holomorphic functions in the unit ball: non-radial growth characteristics