Topology + Dynamics and Continuum Theory
32nd Summer Conference on Topology and Its Applications
We examine one-sided ergodic Hilbert transforms for irrational circle rotations and some mean-zero functions. Our approach uses continued fraction expansions to specify rotations by Liouville numbers for which the transformation has everywhere convergence or divergence.
Copyright © 2017, the Authors
Constantine, David and Furno, Joanna, "Liouville Numbers and One-sided Ergodic Hilbert Transformations" (2017). Summer Conference on Topology and Its Applications. 32.