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Laurent Polynomial Moment Problem: A Case Study

By Fedor Pakovich, Christian Pech and Er K. Zvonkin

Abstract

Abstract. In recent years, the so-called polynomial moment problem, motivated by the classical Poincaré center-focus problem, was thoroughly studied, and the answers to the main questions have been found. The study of a similar problem for rational functions is still at its very beginning. In this paper, we make certain progress in this direction; namely, we construct an example of a Laurent polynomial for which the solutions of the corresponding moment problem behave in a significantly more complicated way than it would be possible for a polynomial. 1

Year: 2011
OAI identifier: oai:CiteSeerX.psu:10.1.1.187.2697
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