Characterizing translation invariant projections on Sobolev spaces on tori by the coset ring and Paley projections
M. Wojciechowski (1993)
Studia Mathematica
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We characterize those anisotropic Sobolev spaces on tori in the 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].