Representation formulas for Hardy space functions through the Cuntz relations and new interpolation problems
Functional Analysis
2013-01-21 v2
Abstract
We introduce connections between the Cuntz relations and the Hardy space H_2 of the open unit disk . We then use them to solve a new kind of multipoint interpolation problem in H_2, where for instance, only a linear combination of the values of a function at given points is preassigned, rather than the values at the points themselves. We also consider the case of de Branges-Rovnyak spaces.
Keywords
Cite
@article{arxiv.1104.0621,
title = {Representation formulas for Hardy space functions through the Cuntz relations and new interpolation problems},
author = {Daniel Alpay and Palle Jorgensen and Izchak Lewkowicz and Itzik Martziano},
journal= {arXiv preprint arXiv:1104.0621},
year = {2013}
}
Comments
Updated bibliography and one section added on the case of de Branges Rovnyak spaces