BV coboundaries over irrational rotations
Volume 126 / 1997
Studia Mathematica 126 (1997), 253-271
DOI: 10.4064/sm-126-3-253-271
Abstract
For every irrational rotation we construct a coboundary which is continuous except at a single point where it has a jump, is nondecreasing, and has zero derivative almost everywhere.