Integral representation of functions on the circle
Classical Analysis and ODEs
2024-11-05 v5 Metric Geometry
Abstract
We give a complete characterization of all real-valued functions on the unit circle that can be represented by integrating the spherical distance on with respect to a signed measure or a probability measure.
Keywords
Cite
@article{arxiv.2304.08358,
title = {Integral representation of functions on the circle},
author = {Giuliano Basso},
journal= {arXiv preprint arXiv:2304.08358},
year = {2024}
}
Comments
To appear in Real Analysis Exchange