Taylor coefficients of inner functions and Beurling's theorem for the shift
Complex Variables
2014-12-31 v3
Abstract
The purpose of this expository note is to give a proof of a Schur-type theorem that characterizes the inner functions in terms of their Taylor coefficients. In view of Beurling's theorem, this provides a sequential characterization of the shift-invariant subspaces of .
Keywords
Cite
@article{arxiv.1310.8271,
title = {Taylor coefficients of inner functions and Beurling's theorem for the shift},
author = {Dragan Vukotić},
journal= {arXiv preprint arXiv:1310.8271},
year = {2014}
}