Boundary rigidity for some classes of meromorphic functions
Classical Analysis and ODEs
2008-12-25 v1 Complex Variables
Abstract
Sufficient boundary asymptotic conditions are established for a generalized Schur function to be identically equal to a given rational function unimodular on the unit circle. Similar rigidity statements are presented for generalized Carath\'eodory and generalized Nevanlinna functions.
Cite
@article{arxiv.0812.4570,
title = {Boundary rigidity for some classes of meromorphic functions},
author = {Vladimir Bolotnikov},
journal= {arXiv preprint arXiv:0812.4570},
year = {2008}
}