Abstract
We explore upper bounds on Kantorovich transport distances between probability measures on the Euclidean spaces in terms of their Fourier-Stieltjes transforms, with focus on non-Euclidean metrics. The results are illustrated on empirical measures in the optimal matching problem on the real line.
Original language | English (US) |
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Article number | 60 |
Journal | Journal of Fourier Analysis and Applications |
Volume | 26 |
Issue number | 4 |
DOIs | |
State | Published - Aug 1 2020 |
Bibliographical note
Publisher Copyright:© 2020, Springer Science+Business Media, LLC, part of Springer Nature.
Keywords
- Fourier analytic inequalities
- Transport distances
- non-Euclidean metrics