Blaschke-type conditions for analytic functions in the unit disk: inverse problems and local analogs
Complex Variables
2010-07-20 v1
Abstract
We continue the study of analytic functions in the unit disk of finite order with arbitrary set of singular points on the unit circle, introduced in \cite{FG}. The main focus here is made upon the inverse problem: the existence of a function from this class with a given singular set and zero set subject to certain Blaschke-type condition. We also discuss the local analog of the main result from \cite{FG} similar to the standard local Blaschke condition for analytic and bounded functions in the unit disk.
Keywords
Cite
@article{arxiv.1007.3020,
title = {Blaschke-type conditions for analytic functions in the unit disk: inverse problems and local analogs},
author = {S. Favorov and L. Golinskii},
journal= {arXiv preprint arXiv:1007.3020},
year = {2010}
}
Comments
14 pages in LaTeX