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Complete interpolating sequences for Paley-Wiener spaces and Muckenhoupt's (A) condition.

Yurii I. LyubarskiiKristian Seip — 1997

Revista Matemática Iberoamericana

We describe the complete interpolating sequences for the Paley-Wiener spaces L (1 < p < ∞) in terms of Muckenhoupt's (A) condition. For p = 2, this description coincides with those given by Pavlov [9], Nikol'skii [8] and Minkin [7] of the unconditional bases of complex exponentials in L(-π,π). While the techniques of these authors are linked to the Hilbert space geometry of L , our method of proof is based in turning the problem into one about boundedness...

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