Notes on a theorem of Katznelson and Ornstein

Akhtam Dzhalilov

Abstract

We revisit a classical theorem of Katznelson and Ornstein on the regularity of conjugacies between circle diffeomorphisms and extend it to maps with break points.

Authors: H. Akhadkulov, A. Dzhalilov, K. Khanin

Keywords

Katznelson-Ornstein

Cite this paper

Cite this article

@article{notes_on_a_theorem_of_katznelson_and_ornstein,
  author    = {Akhtam Dzhalilov},
  title     = {Notes on a theorem of Katznelson and Ornstein},
  journal   = {Discrete and Continuous Dynamical Systems, 37(9)},
  year      = {2017},
  pages     = {4587—4609},
}