Multidimensional Version of Lagrange's Problem on Mean Motion
Complex Variables
2009-06-27 v2 Commutative Algebra
Abstract
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.
Cite
@article{arxiv.0804.1791,
title = {Multidimensional Version of Lagrange's Problem on Mean Motion},
author = {S. Ju. Favorov},
journal= {arXiv preprint arXiv:0804.1791},
year = {2009}
}
Comments
10 pages, Bibliography 17 items