Geodesic cycles on the Sphere: $t$-designs and Marcinkiewicz-Zygmund Inequalities
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913643733450752 |
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| author | Ehler, Martin Gröchenig, Karlheinz Karner, Clemens |
| author_facet | Ehler, Martin Gröchenig, Karlheinz Karner, Clemens |
| contents | A geodesic cycle is a closed curve that connects finitely many points along geodesics. We study geodesic cycles on the sphere in regard to their role in equal-weight quadrature rules and approximation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_06120 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Geodesic cycles on the Sphere: $t$-designs and Marcinkiewicz-Zygmund Inequalities Ehler, Martin Gröchenig, Karlheinz Karner, Clemens Functional Analysis Numerical Analysis 41A55, 41A63, 94A12, 26B15 A geodesic cycle is a closed curve that connects finitely many points along geodesics. We study geodesic cycles on the sphere in regard to their role in equal-weight quadrature rules and approximation. |
| title | Geodesic cycles on the Sphere: $t$-designs and Marcinkiewicz-Zygmund Inequalities |
| topic | Functional Analysis Numerical Analysis 41A55, 41A63, 94A12, 26B15 |
| url | https://arxiv.org/abs/2501.06120 |