On the complex moments problem on radial rays


  • S. M. Zagorodnyuk Department of Mechanics and Mathematics, V.N. Karazin Kharkiv National University, 4 Svobody Sq., Kharkiv, 61077, Ukraine

Ключові слова:

complex moment problem, Hamburger moment problem


The complex moments problem in the case when the support of the measure lies on the algebraic curves $P_N=\left\{z\in \mathbb{C}: z^N -\overline{z}^N=0\right\}$, $N=1,2,3,\ldots$, 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 moments problem with parameters.

Mathematics Subject Classification: 44A60.

Як цитувати

Zagorodnyuk, S. M. On the complex moments problem on radial rays. Журн. мат. фіз. анал. геом. 2005, 1, 74-93.





Дані завантаження ще не доступні.