Solution of the polynomial moment problem

Details Solution of the polynomial moment problem Solution of the polynomial moment problem

2007-10-22

arxiv.org/abs/0710.4085v2

Mathematics

Complex Variables

The final version accepted by Proc. Lond. Math. Soc. In contrast with the first version the exposition is self-contained and c

Scientific paper

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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