Samuel A. Hokamp
Published 2020-11-10Version 1
In their 1976 paper, Nagel and Rudin characterize the closed unitarily and M\"obius invariant spaces of continuous and $L^p$-functions on a sphere, for $1\leq p<\infty$. In this paper we provide an analogous characterization for the weak*-closed unitarily and M\"obius invariant spaces of $L^\infty$-functions on a sphere. We also investigate the weak*-closed unitarily and M\"obius invariant algebras of $L^\infty$-functions on a sphere.
Comments: 16 pages, submitted to Illinois Journal of Mathematics
Equality of uniform and Carleman spectra for bounded measurable functions
Invariant spaces under unitary representations of discrete groups
Spaces of Continuous and Measurable Functions Invariant under a Group Action
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