Translation invariant projections in Sobolev spaces on tori in the L¹ and uniform norms
Studia Mathematica, Tome 100 (1991) no. 2, pp. 149-167

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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.
DOI : 10.4064/sm-100-2-149-167

M. Wojciechowski 1

1
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M. Wojciechowski. Translation invariant projections in Sobolev spaces on tori in the L¹ and uniform norms. Studia Mathematica, Tome 100 (1991) no. 2, pp. 149-167. doi: 10.4064/sm-100-2-149-167

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