6 papers
Properties of reproducing kernel Hilbert spaces of a group action
Tyler Blom, Samuel A. Hokamp, Alejandro Jimenez +1
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 $…
A Class of Homeomorphisms on Homogeneous Spaces of a Group Action
Samuel A. Hokamp
We develop a class of homeomorphisms on a compact homogeneous space of a transitive group action and show how the class sheds new light on a decomposition problem. We further use t…
Spaces of Bounded Measurable Functions Invariant Under a Group Action
Samuel A. Hokamp
In this paper we characterize spaces of -functions on a compact Hausdorff space that are invariant under a transitive and continuous group action. This work generalizes t…
Spaces of Continuous and Measurable Functions Invariant under a Group Action
Samuel A. Hokamp
In this paper we characterize spaces of continuous and -functions on a compact Hausdorff space that are invariant under a transitive and continuous group action. This work gen…
Certain Invariant Spaces of Bounded Measurable Functions on a Sphere
Samuel A. Hokamp
In their 1976 paper, Nagel and Rudin characterize the closed unitarily and Möbius invariant spaces of continuous and -functions on a sphere, for . In this pape…
Deformation Theories Controlled by Hochschild Cohomologies
Samuel Carolus, Samuel A. Hokamp, Jacob Laubacher
We explore how the higher order Hochschild cohomology controls a deformation theory when the simplicial set models the 3-sphere. Besides generalizing to the -sphere for any $d\g…