Functions of exponential type and the cardinal series


In this paper, various growth rates and oscillation conditions for entire functions of exponential type π are given which ensure validity of the classical cardinal series. Among other applications, a theorem of Plancherel and Polya is extended to show that any function of exponential type π which decays to 0 along the real axis is a convergent cardinal… (More)
DOI: 10.1016/j.jat.2014.02.003