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On complete interpolating sequences and sampling expansions

Published online by Cambridge University Press:  01 January 2010

Kevin Smith*
Affiliation:
159 Thoday Street Cambridge, CB1 3AT, United Kingdom (email: k.p.q.smith@googlemail.com)

Abstract

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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.

Type
Research Article
Copyright
Copyright © London Mathematical Society 2010

References

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