Samuel A. Hokamp
Published 2021-10-22, updated 2022-06-20Version 3
In this paper we characterize spaces of continuous and $L^p$-functions on a compact Hausdorff space that are invariant under a transitive and continuous group action. This work generalizes Nagel and Rudin's 1976 results concerning unitarily and M\"obius invariant spaces of continuous and measurable functions defined on the unit sphere in $\mathbb{C}^n$.
Phase-isometries on the unit sphere of $C(K)$
Certain Invariant Spaces of Bounded Measurable Functions on a Sphere
About the almost everywhere convergence of the spectral expansions of functions from $L_1^\a(S^N)$
![QR code for arXiv:2110.12060 [math.FA]](http://oss.arxitics.com/images/favicon.svg)