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Nevanlinna formula for the truncated matrix trigonometric moment problem

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Ukrainian Mathematical Journal Aims and scope

The paper continues the investigation of the truncated matrix trigonometric moment problem originated by the author in Ukr. Mat. Zh., 63, No. 6, 786–797 (2011). The Nevanlinna formula for the indicated moment problem is deduced in the general case. It is assumed that there is more than one moment and that the moment problem is solvable and has more than one solution. The coefficients of the corresponding matrix linear fractional transformation are expressed in the explicit form via the given moments. Simple determinacy conditions are presented for the moment problem.

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References

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Authors and Affiliations

  1. Karazin Kharkov National University, Kharkov, Ukraine

    S. M. Zagorodnyuk

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  1. S. M. Zagorodnyuk
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Karazin Kharkov National University, Kharkov, Ukraine.

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Zagorodnyuk, S.M. Nevanlinna formula for the truncated matrix trigonometric moment problem. Ukr Math J 64, 1199–1214 (2013). https://doi.org/10.1007/s11253-013-0710-0

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  • DOI: https://doi.org/10.1007/s11253-013-0710-0

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