Resumen de Divided differences and restriction operator on Paley–Wiener spaces ???? for N–Carleson sequences

Frédéric Gaunard

• For a sequence of complex numbers Λ we consider the restriction operator ?Λ defined on Paley–Wiener spaces ???? (1 < p < ∞). Lyubarskii and Seip gave necessary and sufficient conditions on Λ for ?Λ to be an isomorphism between ???? and a certain weighted l p space. The Carleson condition appears to be necessary. We extend their result to N–Carleson sequences (finite unions of N disjoint Carleson sequences). More precisely, we give necessary and sufficient conditions for ?Λ to be an isomorphism between ???? and an appropriate sequence space involving divided differences.