Ukrainian Mathematical Journal

, Volume 63, Issue 6, pp 914–926 | Cite as

Truncated matrix trigonometric problem of moments: operator approach

  • S. M. Zagorodnyuk

We study the truncated matrix trigonometric problem of moments. A parametrization of all solutions of this problem (both in the nondegenerate and degenerate cases) is obtained by using the operator approach. This parametrization establishes the one-to-one correspondence between a certain class of analytic functions and all solutions of the problem. We use the important Chumakin results on the generalized resolvents of isometric operators.


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Copyright information

© Springer Science+Business Media, Inc. 2011

Authors and Affiliations

  • S. M. Zagorodnyuk
    • 1
  1. 1.KharkovUkraine

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