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Lagrange's mean motion problem
Author(s):
S.
Yu.
Favorov
Translated by:
the author
Original publication:
Algebra i Analiz,
tom 20
(2008),
nomer 2.
Journal:
St. Petersburg Math. J.
20
(2009),
319-324.
MSC (2000):
Primary 33B10, 30B50
Posted:
February 4, 2009
MathSciNet review:
2424001
Retrieve article in:
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Abstract |
References |
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Additional information
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 Mathematica, vol. 77, 1945. Here, we give a simple version of that proof.
References:
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Additional Information:
S.
Yu.
Favorov
Affiliation:
Department of Mathematics, Kharkov National University, Svobody Square 4, Kharkov 61077, Ukraine
Email:
favorov_s@mail.ru, fav@univer.kharkov.ua
DOI:
10.1090/S1061-0022-09-01049-8
PII:
S 1061-0022(09)01049-8
Keywords:
Mean motion,
exponential polynomial,
Lagrange's conjecture,
Weierstrass preparation theorem
Received by editor(s):
10/AUG/2007
Posted:
February 4, 2009
Copyright of article:
Copyright
2009,
American Mathematical Society
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