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Matematicheskie Zametki, 2008, Volume 83, Issue 3, Pages 350–360
DOI: https://doi.org/10.4213/mzm3850 (Mi mzm3850) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Levinson's Condition in the Theory of Entire Functions: Equivalent Statements

A. M. Gaisin

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (507 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm3850
Abstract: 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, Borel transform, bilogarithmic Levinson condition, Legendre transform, Pavlov–Korevaar–Dixon interpolation, Hadamard's formula.
Received: 05.10.2004
Revised: 06.06.2006
English version:
Mathematical Notes, 2008, Volume 83, Issue 3, Pages 317–326
DOI: https://doi.org/10.1134/S0001434608030036
Bibliographic databases:
UDC: 517.53
Language: Russian
Citation: A. M. Gaisin, “Levinson's Condition in the Theory of Entire Functions: Equivalent Statements”, Mat. Zametki, 83:3 (2008), 350–360; Math. Notes, 83:3 (2008), 317–326
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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