A note on the completeness of Fourier-based metrics on measures
Classical Analysis and ODEs
2024-04-02 v2
Abstract
Resolving an open question of J. A. Carillo and G. Toscani, M. Stawiska recently proved that certain metric spaces of probability measures equipped with Fourier-based metrics are complete. In this note, we extend such Fourier-based metrics to the class of complex Borel measures and consider the question of completeness in this broader setting.
Keywords
Cite
@article{arxiv.2402.03983,
title = {A note on the completeness of Fourier-based metrics on measures},
author = {Evan Randles},
journal= {arXiv preprint arXiv:2402.03983},
year = {2024}
}