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.
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Univ Roma Tre, Dipartimento Matemat & Fis, Largo San Leonardo Murialdo 1, I-00146 Rome, ItalyUniv Roma Tre, Dipartimento Matemat & Fis, Largo San Leonardo Murialdo 1, I-00146 Rome, Italy
Biasco, Luca
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Massetti, Jessica Elisa
Procesi, Michela
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Univ Roma Tre, Dipartimento Matemat & Fis, Largo San Leonardo Murialdo 1, I-00146 Rome, ItalyUniv Roma Tre, Dipartimento Matemat & Fis, Largo San Leonardo Murialdo 1, I-00146 Rome, Italy