Abstract
The multiplicative structure of the resolvent matrix of the Hausdorff Matrix Moment (HMM) problem is described in the case of an odd number of moments. We use the Fundamental Matrix Inequality approach, previously used in obtaining the Blaschke–Potapov product of the resolvent matrix for the Hamburger and Stieltjes matrix moment problem studied in [10] and [7], respectively. The case of an even number of moments for the HMM problem was considered in [12].
Mathematics Subject Classification (2010). Primary 44A60, 47A57.
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© 2012 Springer Basel
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Rivero, A.E.C. (2012). Multiplicative Structure of the Resolvent Matrix for the Truncated Hausdorff Matrix Moment Problem. In: Alpay, D., Kirstein, B. (eds) Interpolation, Schur Functions and Moment Problems II. Operator Theory: Advances and Applications(), vol 226. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0428-8_4
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DOI: https://doi.org/10.1007/978-3-0348-0428-8_4
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Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-0427-1
Online ISBN: 978-3-0348-0428-8
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