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arXiv · 2402.03983

A note on the completeness of Fourier-based metrics on measures

Evan Randles
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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.

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Evan Randles. 2024-02-06. A note on the completeness of Fourier-based metrics on measures. https://arxiv.org/abs/2402.03983

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