English

One-component bounded functions

Complex Variables 2022-06-07 v1 Classical Analysis and ODEs

Abstract

Three different characterizations of one-component bounded analytic functions are provided. The first one is related to the the inner-outer factorization, the second one is in terms of the size of the reproducing kernels in the corresponding de Branges-Rovnyak spaces and the last one concerns the associated Clark measure.

Keywords

Cite

@article{arxiv.2206.01985,
  title  = {One-component bounded functions},
  author = {Carlo Bellavita and Artur Nicolau},
  journal= {arXiv preprint arXiv:2206.01985},
  year   = {2022}
}

Comments

21 pages

R2 v1 2026-06-24T11:39:14.220Z