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arxiv: 0710.4085 · v2 · pith:VRA3BYCUnew · submitted 2007-10-22 · 🧮 math.CV · math.AG· math.DS· math.GR

Solution of the polynomial moment problem

classification 🧮 math.CV math.AGmath.DSmath.GR
keywords polynomialproblemmomentsolutionarosecenter-focuscompleteconnection
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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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