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1 results in 94-XX

  • On complete interpolating sequences and sampling expansions

  • Part of
  • Kevin Smith
  • Journal:
    LMS Journal of Computation and Mathematics / Volume 13 / January 2010
    Published online by Cambridge University Press:
    01 January 2010, pp. 1-9
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  • Complete interpolating sequences for L2(−π,π) are considered under the condition that the real parts of the sequence are a subsequence of the scaled integers xℤ, x>0. It is found that this condition leads to very specific and restrictive conditions on the existence and structure of complete interpolating sequences for L2(−π,π). Further general results in the case of bunched sampling of Bernstein functions are also given.