Geodesic
Levinson's Condition in the Theory of Entire Functions: Equivalent Statements
Matematičeskie zametki, Tome 83 (2008) no. 3, pp. 350-360

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In terms of distribution functions of zeros of an entire function of exponential type, we prove assertions equivalent to the bilogarithmic Levinson's condition for the Borel transform of the function. As an application, we present solutions of two problems related to Pavlov–Korevaar–Dixon interpolation.
Keywords: entire function, bilogarithmic Levinson condition, Pavlov–Korevaar–Dixon interpolation
Mots-clés : Borel transform, Legendre transform, Hadamard's formula. 
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     author = {A. M. Gaisin},
     title = {Levinson's {Condition} in the {Theory} of {Entire} {Functions:} {Equivalent} {Statements}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {350--360},
     publisher = {mathdoc},
     volume = {83},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2008_83_3_a2/}
}
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A. M. Gaisin. Levinson's Condition in the Theory of Entire Functions: Equivalent Statements. Matematičeskie zametki, Tome 83 (2008) no. 3, pp. 350-360. http://geodesic.mathdoc.fr/item/MZM_2008_83_3_a2/