@article{ac3fbbc7090443899aba1304a4c786f7,

title = "Solution of the polynomial moment problem",

abstract = "In this paper we give a solution of the following 'polynomial moment problem' which arose about 10 years ago in connection with Poincar{\'e}'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].",

author = "F. Pakovich and M. Muzychuk",

note = "Funding Information: Received 24 October 2007; revised 4 February 2009; published online 31 March 2009. 2000 Mathematics Subject Classification 30E99 (primary), 34C99, 20C05, 12F10 (secondary). The research of the first author was supported by the ISF grant no. 979/07.",

year = "2009",

month = nov,

day = "1",

doi = "10.1112/plms/pdp010",

language = "English",

volume = "99",

pages = "633--657",

journal = "Proceedings of the London Mathematical Society",

issn = "0024-6115",

publisher = "John Wiley and Sons Ltd",

number = "3",

}