A note on the completeness of Fourier-based metrics on measures
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913291811422208 |
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| author | Randles, Evan |
| author_facet | Randles, Evan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_03983 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on the completeness of Fourier-based metrics on measures Randles, Evan Classical Analysis and ODEs Primary: 28A33, 60B10. Secondary: 42B10, 46E27 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. |
| title | A note on the completeness of Fourier-based metrics on measures |
| topic | Classical Analysis and ODEs Primary: 28A33, 60B10. Secondary: 42B10, 46E27 |
| url | https://arxiv.org/abs/2402.03983 |