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On the completeness of sets of complex exponentials
Published online by Cambridge University Press: 01 June 2011
Abstract
The completeness of sets of complex exponentials {eiλf(n)⋅:f∈ℤ} in Lp(−π,π), 1<p≤2, is considered under Levinson’s sufficient condition in the non-trivial case λ≥1−(1/p). All such sets are determined explicitly.
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- Copyright © London Mathematical Society 2011