Laurent polynomial moment problem: a case study
Complex Variables
2009-10-15 v1 Dynamical Systems
Abstract
In recent years, the so-called polynomial moment problem, motivated by the classical Poincare center-focus problem, was thoroughly studied, and the answers to the main questions have been found. The study of a similar problem for rational functions is still at its very beginning. In this paper, we make certain progress in this direction; namely, we construct an example of a Laurent polynomial for which the solutions of the corresponding moment problem behave in a significantly more complicated way than it would be possible for a polynomial.
Keywords
Cite
@article{arxiv.0910.2691,
title = {Laurent polynomial moment problem: a case study},
author = {F. Pakovich and C. Pech and A. Zvonkin},
journal= {arXiv preprint arXiv:0910.2691},
year = {2009}
}