On the polynomial moment problem
Complex Variables
2007-05-23 v1 Dynamical Systems
Abstract
We treat the following "polynomial moment problem": for a complex polynomial P(z) and distinct complex numbers a,b such that P(a)=P(b) to describe polynomials q(z)=Q'(z) orthogonal to all degrees of P(z) on the segment [a,b]. We show that if P(z) is indecomposable then there exists a polynomial R(z) such that Q(z)=R(P(z)). We also prove some related results.
Cite
@article{arxiv.math/0205134,
title = {On the polynomial moment problem},
author = {F. Pakovich},
journal= {arXiv preprint arXiv:math/0205134},
year = {2007}
}
Comments
8 pages, 2 figure