Solution of the polynomial moment problem

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33 Scopus citations

Abstract

In this paper we give a solution of the following 'polynomial moment problem' which arose about 10 years ago in connection with Poincaré'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].

Original languageEnglish
Pages (from-to)633-657
Number of pages25
JournalProceedings of the London Mathematical Society
Volume99
Issue number3
DOIs
StatePublished - 1 Nov 2009

ASJC Scopus subject areas

  • Mathematics (all)

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