Limit behaviour of Weyl coefficients
Functional Analysis
2021-06-09 v1
Abstract
We study the sets of radial or nontangential limit points towards of a Nevanlinna function q. Given a nonempty, closed, and connected subset L of , we explicitly construct a Hamiltonian H such that the radial- and outer angular cluster sets towards of the Weyl coefficient q H are both equal to L. Our method is based on a study of the continuous group action of rescaling operators on the set of all Hamiltonians.
Cite
@article{arxiv.2106.04167,
title = {Limit behaviour of Weyl coefficients},
author = {Raphael Pruckner and Harald Woracek},
journal= {arXiv preprint arXiv:2106.04167},
year = {2021}
}