On polynomials orthogonal to all powers of a given polynomial on a segment

Details On polynomials orthogonal to all powers of a given polynomial on a segment On polynomials orthogonal to all powers of a given polynomial on a segment

2004-08-02

arxiv.org/abs/math/0408019v1

Mathematics

Classical Analysis and ODEs

27 pages, 9 figures

Scientific paper

In this paper we investigate the following "polynomial moment problem": for a
complex polynomial $P(z)$ and distinct complex numbers $a,b$ to describe
polynomials $q(z)$ orthogonal to all integer non-negative powers of $P(z)$ on
the segment $[a,b].$

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