On the completeness of sets of complex exponentials

Kevin Smith
2011 LMS Journal of Computation and Mathematics  
AbstractThe completeness of sets of complex exponentials {eiλf(n):f} inLp(−π,π), 1<p≤2, is considered under Levinson's sufficient condition in the non-trivial caseλ≥1−(1/p). All such sets are determined explicitly.
doi:10.1112/s1461157010000070 fatcat:ivwcyenhfzftdmrtal2chectly