Note on a result of Kerman and Weit
arXiv:1109.0477
Abstract
A result in \cite{Ker-Weit} states that a real valued continuous function on the circle and its nonnegative integral powers can generate a dense translation invariant subspace in the space of all continuous functions on the circle if has a unique maximum or a unique minimum. In this note we endeavour to show that this is quite a general phenomenon in harmonic analysis.
5 pages