Properties of reproducing kernel Hilbert spaces of a group action
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866915243476647936 |
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| author | Blom, Tyler Hokamp, Samuel A. Jimenez, Alejandro Laubacher, Jacob |
| author_facet | Blom, Tyler Hokamp, Samuel A. Jimenez, Alejandro Laubacher, Jacob |
| contents | In this paper, we investigate properties of a reproducing kernel Hilbert space of a group action. In particular, we introduce an equivalence relation on a compact Hausdorff space $X$, and consequently establish three equivalent definitions for when two elements are related. We also see how the equivalence classes of $X$ correspond to subgroups of the group acting transitively on $X$, which we aptly refer to as relation stabilizers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_10701 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Properties of reproducing kernel Hilbert spaces of a group action Blom, Tyler Hokamp, Samuel A. Jimenez, Alejandro Laubacher, Jacob Functional Analysis 22F30 (Primary) 46E22, 46E20 (Secondary) In this paper, we investigate properties of a reproducing kernel Hilbert space of a group action. In particular, we introduce an equivalence relation on a compact Hausdorff space $X$, and consequently establish three equivalent definitions for when two elements are related. We also see how the equivalence classes of $X$ correspond to subgroups of the group acting transitively on $X$, which we aptly refer to as relation stabilizers. |
| title | Properties of reproducing kernel Hilbert spaces of a group action |
| topic | Functional Analysis 22F30 (Primary) 46E22, 46E20 (Secondary) |
| url | https://arxiv.org/abs/2504.10701 |