Nevanlinna classes associated to a closed set on $\partial$D
Complex Variables
2017-06-14 v1
Abstract
We introduce Nevanlinna classes of holomorphic functions associated to a closed set on the boundary of the unit disc in the complex plane and we get Blaschke type theorems relative to these classes by use of several complex variables methods. This gives alternative proofs of some results of Favorov \& Golinskii, useful, in particular, for the study of eigenvalues of non self adjoint Schr{\"o}dinger operators.
Cite
@article{arxiv.1706.03837,
title = {Nevanlinna classes associated to a closed set on $\partial$D},
author = {Eric Amar},
journal= {arXiv preprint arXiv:1706.03837},
year = {2017}
}
Comments
I shall split my previous paper: "Nevanlinna classes for non radial weights in the unit disc. Applications" in several parts, this is the first one. It improves substantially tthe corresponding part of it. arXiv admin note: text overlap with arXiv:1703.00283