Abstract
In terms of distribution functions of zeros of an entire function of exponential type, we prove assertions equivalent to the bilogarithmic Levinson condition for the Borel transform of the function. As an application, we present solutions of two problems related to Pavlov-Korevaar-Dixon interpolation.
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Original Russian Text © A. M. Gaisin, 2008, published in Matematicheskie Zametki, 2008, Vol. 83, No. 3, pp. 350–360.
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Gaisin, A.M. Levinson’s condition in the theory of entire functions: Equivalent statements. Math Notes 83, 317–326 (2008). https://doi.org/10.1134/S0001434608030036
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DOI: https://doi.org/10.1134/S0001434608030036