# On Functions That Are Trivial Cocycles for a Set of Irrationals. II

@inproceedings{Baggett1988OnFT, title={On Functions That Are Trivial Cocycles for a Set of Irrationals. II}, author={Lawrence W. Baggett and Herbert A. Medina and Kathy D. Merrill}, year={1988} }

Two results are obtained about the topological size of the set of irrationals for which a given function is a trivial cocycle. An example of a continuous function which is a coboundary with non-L1 cobounding function is constructed. A function v: R/Z R is called an (additive) coboundary for an irrational a if there is a measurable function w: R/Z R such that v(x) = w(x) w(x + a) a.e. (where we parameterize R/Z by the interval [0,1) with addition mod 1). It is called trivial if v(x) c is a… CONTINUE READING

Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

#### Citations

##### Publications citing this paper.

SHOWING 1-10 OF 10 CITATIONS

## Joint coboundaries

VIEW 6 EXCERPTS

CITES BACKGROUND

HIGHLY INFLUENCED

## Regularity of distribution of (nα)-sequences

VIEW 1 EXCERPT

CITES BACKGROUND

## On the cohomological equivalence of a class of functions under an irrational rotation of bounded type

VIEW 1 EXCERPT

CITES BACKGROUND

#### References

##### Publications referenced by this paper.

SHOWING 1-3 OF 3 REFERENCES