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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2307.06665 |
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| _version_ | 1866912533371158528 |
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| author | Bellazzini, Jacopo Nesi, Matteo |
| author_facet | Bellazzini, Jacopo Nesi, Matteo |
| contents | In this note, we prove a new uncertainty principle for functions with radial symmetry by differentiating a radial version of the Stein-Weiss inequality. The difficulty is to prove the differentiability in the limit of the best constant that, unlike the general case, it is not known. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_06665 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Logarithmic Uncertainty Principle for Functions with Radial Symmetry Bellazzini, Jacopo Nesi, Matteo Functional Analysis Mathematical Physics In this note, we prove a new uncertainty principle for functions with radial symmetry by differentiating a radial version of the Stein-Weiss inequality. The difficulty is to prove the differentiability in the limit of the best constant that, unlike the general case, it is not known. |
| title | A Logarithmic Uncertainty Principle for Functions with Radial Symmetry |
| topic | Functional Analysis Mathematical Physics |
| url | https://arxiv.org/abs/2307.06665 |