Translation invariant projections in Sobolev spaces on tori in the L¹ and uniform norms
M. Wojciechowski (1991)
Studia Mathematica
Similarity:
The idempotent multipliers on Sobolev spaces on the torus in the L¹ and uniform norms are characterized in terms of the coset ring of the dual group of the torus. This result is deduced from a more general theorem concerning certain translation invariant subspaces of vector-valued function spaces on tori.