Characterizing translation invariant projections on Sobolev spaces on tori by the coset ring and Paley projections
Volume 104 / 1993
Studia Mathematica 104 (1993), 181-193
DOI: 10.4064/sm-104-2-181-193
Abstract
We characterize those anisotropic Sobolev spaces on tori in the $L^1$ and uniform norms for which the idempotent multipliers have a description in terms of the coset ring of the dual group. These results are deduced from more general theorems concerning invariant projections on vector-valued function spaces on tori. This paper is a continuation of the author's earlier paper [W].
