Geodesic
On the complex moment problem on radial rays
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 1 (2005) no. 1, pp. 74-92 
S. M. Zagorodnyuk. On the complex moment problem on radial rays. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 1 (2005) no. 1, pp. 74-92. http://geodesic.mathdoc.fr/item/JMAG_2005_1_1_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The complex moment problem in the case when the support of the measure lies on the algebraic curves $P_N=\{z\in\mathbb C:z^N-\bar z^N=0\}$, $N=1,2,3,\dots$, is studied. For $N=2,3$ the necessary and sufficient conditions of solvability are obtained and all solutions of the problem are described. It is shown how this problem for arbitrary $N$ is connected with the Hamburger moment problem with parameters.

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