Analytic functions on the bidisk at boundary singularities via Hilbert space methods
Functional Analysis
2016-07-07 v1 Complex Variables
Abstract
We investigate the behavior of a generalized Hilbert space model of a function in the Schur class of the bidisk at singular boundary points that satisfy a growth condition. We examine the relationship between the boundary behavior of Schur functions and the geometry of corresponding generalized Hilbert space models. We describe a geometric condition on an associated operator that classifies the behavior of the directional derivative of the underlying Schur function at a carapoint.
Keywords
Cite
@article{arxiv.1607.01413,
title = {Analytic functions on the bidisk at boundary singularities via Hilbert space methods},
author = {Ryan Tully-Doyle},
journal= {arXiv preprint arXiv:1607.01413},
year = {2016}
}