Krein-type theorems and ordered structure for Cauchy-de Branges spaces
Complex Variables
2018-04-03 v2 Functional Analysis
Abstract
We extend some results of M.G. Krein to the class of entire functions which can be represented as ratios of discrete Cauchy transforms in the plane. As an application we obtain new versions of de Branges' Ordering Theorem for nearly invariant subspaces in a class of Hilbert spaces of entire functions. Examples illustrating sharpness of the obtained results are given.
Cite
@article{arxiv.1802.03385,
title = {Krein-type theorems and ordered structure for Cauchy-de Branges spaces},
author = {Evgeny Abakumov and Anton Baranov and Yurii Belov},
journal= {arXiv preprint arXiv:1802.03385},
year = {2018}
}
Comments
24 pages