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Necessary density conditions for sampling an interpolation of certain entire functions. (English) Zbl 0154.15301

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[1] Duffin, R. J. &Shaeffer, A. C., A class of nonharmonic Fourier series.Trans. Amer. Math. Soc., 72 (1952), 341–366. · Zbl 0049.32401 · doi:10.1090/S0002-9947-1952-0047179-6
[2] Landau, H. J., A sparse regular sequence of exponentials closed on large sets.Bull. Amer. Math. Soc., 70 (1964), 566–569. · Zbl 0131.06401 · doi:10.1090/S0002-9904-1964-11202-7
[3] – The eigenvalue behavior of certain convolution equations.Trans. Amer. Math. Soc., 115 (1965), 242–256. · Zbl 0195.41802 · doi:10.1090/S0002-9947-1965-0199745-4
[4] Loomis, L. H.,An Introduction to abstract harmonic analysis, Van Nostrand, New York, 1953. · Zbl 0052.11701
[5] Riesz, F. &Sz.-Nagy, B.,Functional analysis, Ungar, New York, 1955. · Zbl 0070.10902
[6] Shapiro, H. S. &Shields, A. L., On some interpolation problems for analytic functions.Amer. J. Math., 83 (1961), 513–532. · Zbl 0112.29701 · doi:10.2307/2372892
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