Solution of the polynomial moment problem
Complex Variables
2014-02-26 v2 Algebraic Geometry
Dynamical Systems
Group Theory
Abstract
In this paper we give a complete solution of the following "polynomial moment problem" which arose about 10 years ago in connection with Poincare's center-focus problem. For a given polynomial P(z) to describe polynomials Q(z) orthogonal to all powers of P(z) on a segment [a,b].
Keywords
Cite
@article{arxiv.0710.4085,
title = {Solution of the polynomial moment problem},
author = {F. Pakovich and M. Muzychuk},
journal= {arXiv preprint arXiv:0710.4085},
year = {2014}
}
Comments
The final version accepted by Proc. Lond. Math. Soc. In contrast with the first version the exposition is self-contained and concentrated on the case when both P,Q are polynomials