Geodesic
Indeterminacy Criteria for the Stieltjes Matrix Moment Problem
Matematičeskie zametki, Tome 75 (2004) no. 1, pp. 71-88

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In this paper, we obtain criteria for the indeterminacy of the Stieltjes matrix moment problem. We obtain explicit formulas for Stieltjes parameters and study the multiplicative structure of the resolvent matrix. In the indeterminate case, we study the analytic properties of the resolvent matrix of the moment problem. We describe the set of all matrix functions associated with the indeterminate Stieltjes moment problem in terms of linear fractional transformations over Stieltjes pairs. 
@article{MZM_2004_75_1_a6,
     author = {Yu. M. Dyukarev},
     title = {Indeterminacy {Criteria} for the {Stieltjes} {Matrix} {Moment} {Problem}},
     journal = {Matemati\v{c}eskie zametki},
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     publisher = {mathdoc},
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     number = {1},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2004_75_1_a6/}
}
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Yu. M. Dyukarev. Indeterminacy Criteria for the Stieltjes Matrix Moment Problem. Matematičeskie zametki, Tome 75 (2004) no. 1, pp. 71-88. http://geodesic.mathdoc.fr/item/MZM_2004_75_1_a6/