Realization of functions on the symmetrized bidisc
Complex Variables
2017-04-04 v1
Abstract
We prove a realization formula and a model formula for analytic functions with modulus bounded by on the symmetrized bidisc As an application we prove a Pick-type theorem giving a criterion for the existence of such a function satisfying a finite set of interpolation conditions.
Keywords
Cite
@article{arxiv.1704.00312,
title = {Realization of functions on the symmetrized bidisc},
author = {Jim Agler and N. J. Young},
journal= {arXiv preprint arXiv:1704.00312},
year = {2017}
}
Comments
14 pages. To appear in J. Math. Anal. Applications