Title

Liouville Numbers and One-sided Ergodic Hilbert Transformations

Author(s)

David Constantine, Wesleyan University
Joanna Furno, Indiana University - Purdue University, IndianapolisFollow

Document Type

Topology + Dynamics and Continuum Theory

Publication Date

6-2017

Publication Source

32nd Summer Conference on Topology and Its Applications

Abstract

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.

Comments

This document is available for download with the permission of the presenting author and the organizers of the conference. Permission documentation is on file.

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Copyright

Copyright © 2017, the Authors

eCommons Citation

Constantine, David and Furno, Joanna, "Liouville Numbers and One-sided Ergodic Hilbert Transformations" (2017). Summer Conference on Topology and Its Applications. 32.
https://ecommons.udayton.edu/topology_conf/32