Abstract
We give a complete characterization of all real-valued functions on the unit circle \(S^1\) that can be represented by integrating the spherical distance on \(S^1\) with respect to a signed measure or a probability measure.
Citation
Giuliano Basso. "Integral Representation of Functions on the Circle." Real Anal. Exchange 49 (2) 345 - 354, 2024. https://doi.org/10.14321/realanalexch.49.2.1698890384
Information