Levinson's condition in the theory of entire functions: Equivalent statements (Q2517980)
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| English | Levinson's condition in the theory of entire functions: Equivalent statements |
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Levinson's condition in the theory of entire functions: Equivalent statements (English)
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12 January 2009
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The author studies properties of analytic functions depending on a sequence of positive parameters increasing to infinity. In terms of distribution functions of zeros of an entire function of exponential type, he proves assertions equivalent to the bilogarithmic Levinson condition for the Borel transform of the function. As an application, solutions of two problems related to the Pavlov-Korevaar-Dixon interpolation are presented.
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entire function
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Borel transform
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bilogarithmic Levinson condition
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Legendre transform
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Pavlov-Korevaar-Dixon interpolation
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Hadamard's formula
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