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arXiv · 0710.4085

Solution of the polynomial moment problem

F. Pakovich·M. Muzychuk
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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].

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F. Pakovich, M. Muzychuk. 2009-02-19. Solution of the polynomial moment problem. https://doi.org/10.1112/plms%2Fpdp010

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