Functions of exponential type and the cardinal series

作者: B.A. Bailey , W.R. Madych

DOI: 10.1016/J.JAT.2014.02.003

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摘要: Abstract In this paper, various growth rates and oscillation conditions for entire functions of exponential type π are given which ensure validity the classical cardinal series. Among other applications, a theorem Plancherel Polya is extended to show that any function decays 0 along real axis convergent Examples limitations extension also presented.

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