On the truncated operator trigonometric moment problem

Sergey Zagorodnyuk 1
  • 1 School of Mathematics and Mechanics, V.N. Karazin Kharkiv National University, Svobody Square, 4, 61022 Kharkiv, Ukraine

Abstract

In this paper we study the truncated operator trigonometric moment problem. All solutions of the moment problem are described by a Nevanlinna-type parameterization. In the case of moments acting in a separable Hilbert space, the matrices of the operator coefficients in the Nevanlinna-type formula are calculated by the prescribed moments. Conditions for the determinacy of the moment problem are given, as well.

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