A characterization of M\"obius transformations
Complex Variables
2014-10-23 v1
Abstract
We prove that the derivative of an inner function is outer if and only if is a M\"obius transformation. An alternative characterization involving a reverse Schwarz--Pick type estimate is also given.
Cite
@article{arxiv.1410.6024,
title = {A characterization of M\"obius transformations},
author = {Konstantin M. Dyakonov},
journal= {arXiv preprint arXiv:1410.6024},
year = {2014}
}
Comments
4 pages