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arXiv:math/0408019 [math.CA]AbstractReferencesReviewsResources

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

Fedor Pakovich

Published 2004-08-02Version 1

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 $[a,b].$

Comments: 27 pages, 9 figures
Categories: math.CA, math.CV
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