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Necessary density conditions for sampling and interpolation of certain entire functions

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Acta Mathematica

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References

  1. Duffin, R. J. &Shaeffer, A. C., A class of nonharmonic Fourier series.Trans. Amer. Math. Soc., 72 (1952), 341–366.

    Article  MATH  MathSciNet  Google Scholar 

  2. Landau, H. J., A sparse regular sequence of exponentials closed on large sets.Bull. Amer. Math. Soc., 70 (1964), 566–569.

    Article  MATH  MathSciNet  Google Scholar 

  3. — The eigenvalue behavior of certain convolution equations.Trans. Amer. Math. Soc., 115 (1965), 242–256.

    Article  MATH  MathSciNet  Google Scholar 

  4. Loomis, L. H.,An Introduction to abstract harmonic analysis, Van Nostrand, New York, 1953.

    MATH  Google Scholar 

  5. Riesz, F. &Sz.-Nagy, B.,Functional analysis, Ungar, New York, 1955.

    MATH  Google Scholar 

  6. Shapiro, H. S. &Shields, A. L., On some interpolation problems for analytic functions.Amer. J. Math., 83 (1961), 513–532.

    Article  MATH  MathSciNet  Google Scholar 

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Landau, H.J. Necessary density conditions for sampling and interpolation of certain entire functions. Acta Math. 117, 37–52 (1967). https://doi.org/10.1007/BF02395039

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