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arXiv · 2504.10701

Properties of reproducing kernel Hilbert spaces of a group action

Tyler Blom·Samuel A. Hokamp·Alejandro Jimenez·Jacob Laubacher
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Abstract

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.

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Tyler Blom, Samuel A. Hokamp, Alejandro Jimenez, Jacob Laubacher. 2025-04-14. Properties of reproducing kernel Hilbert spaces of a group action. https://arxiv.org/abs/2504.10701

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