Multidimensional Version of Lagrange's Problem on Mean Motion

Details Multidimensional Version of Lagrange's Problem on Mean Motion Multidimensional Version of Lagrange's Problem on Mean Motion

2008-04-10

arxiv.org/abs/0804.1791v2

St. Petersburg Math. J.,20 (2009), No.2, 319-324.

Mathematics

Complex Variables

10 pages, Bibliography 17 items

Scientific paper

The famous mean motion problem which goes back to Lagrange as follows: to
prove that any exponential polynomial with exponents on the imaginary axis has
an average speed for the amplitude, whenever the variable moves along a
horizontal line. It was completely proved by B. Jessen and H. Tornehave in Acta
Math.77, 1945. Here we give its multidimensional version.

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