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. Actually, this result is a consequence of almost periodicity
in Weyl's sense of amplitude increments over segments of the
length 1. Here we consider the problem for some classes of almost
periodic functions of several variables.
Primary Language | English |
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Journal Section | Mathematics |
Authors | |
Publication Date | March 6, 2015 |
Published in Issue | Year 2014 Volume: 5 |