Extreme and exposed points of shift-invariant spaces generated by Gaussian kernel and hyperbolic secant
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866914368658079744 |
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| author | Hagen, Markus Valås Ulanovskii, Alexander Zelent, Denis Zlotnikov, Ilya |
| author_facet | Hagen, Markus Valås Ulanovskii, Alexander Zelent, Denis Zlotnikov, Ilya |
| contents | We characterize the extreme and exposed points of the unit ball (with respect to the $L^1$-norm) in the shift-invariant space generated by the Gaussian function, as well as in the quasi shift-invariant space generated by the hyperbolic secant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_04268 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Extreme and exposed points of shift-invariant spaces generated by Gaussian kernel and hyperbolic secant Hagen, Markus Valås Ulanovskii, Alexander Zelent, Denis Zlotnikov, Ilya Functional Analysis Classical Analysis and ODEs Complex Variables 46A55, 30D20, 30D30 We characterize the extreme and exposed points of the unit ball (with respect to the $L^1$-norm) in the shift-invariant space generated by the Gaussian function, as well as in the quasi shift-invariant space generated by the hyperbolic secant. |
| title | Extreme and exposed points of shift-invariant spaces generated by Gaussian kernel and hyperbolic secant |
| topic | Functional Analysis Classical Analysis and ODEs Complex Variables 46A55, 30D20, 30D30 |
| url | https://arxiv.org/abs/2603.04268 |