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Algebra i Analiz, 2008, Volume 20, Issue 2, Pages 218–225 (Mi aa510)  
This article is cited in 1 scientific paper (total in 1 paper)

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Lagrange's problem on mean motion

S. Yu. Favorov

Kharkiv National University, Faculty of Mathematics and Mechanics
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Abstract: The famous mean motion problem, dating back to Lagrange, is about the existence of the average speed for the amplitude of any exponential polynomial with exponents on the imaginary axis, whenever the variable moves along a horizontal line. This problem was completely solved by B. Jessen and H. Tornehave in Acta Math. 77, 1945. Here, we give a simple version of that proof.
Keywords: Mean motion, exponential polynomial, Lagrange's conjecture, Weierstrass preparation theorem.
Received: 10.08.2007
English version:
St. Petersburg Mathematical Journal, 2009, Volume 20, Issue 2, Pages 319–324
DOI: https://doi.org/10.1090/S1061-0022-09-01049-8
Bibliographic databases:
Document Type: Article
MSC: 33B10, 30B50
Language: Russian
Citation: S. Yu. Favorov, “Lagrange's problem on mean motion”, Algebra i Analiz, 20:2 (2008), 218–225; St. Petersburg Math. J., 20:2 (2009), 319–324
Citation in format AMSBIB
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\jour St. Petersburg Math. J.
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\issue 2
\pages 319--324
\crossref{https://doi.org/10.1090/S1061-0022-09-01049-8}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    References:54
    First page:13
     
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