Geodesic
The Matrix Version of Hamburger's Theorem
Matematičeskie zametki, Tome 91 (2012) no. 4, pp. 522-529

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Necessary and sufficient conditions for the Stieltjes moment problem to have a unique solution and for the Hamburger moment problem with the same moments to have infinitely many solutions were obtained in Hamburger's papers on the classical moment problem. In this paper, we obtain an analog of Hamburger's criterion for the matrix moment problem.
Keywords: Hamburger moment problem, Hermitian matrix, matrix function, block matrix.
Mots-clés : Stieltjes moment problem 
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     author = {Yu. M. Dyukarev and A. E. Choque Rivero},
     title = {The {Matrix} {Version} of {Hamburger's} {Theorem}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {522--529},
     publisher = {mathdoc},
     volume = {91},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2012_91_4_a4/}
}
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Yu. M. Dyukarev; A. E. Choque Rivero. The Matrix Version of Hamburger's Theorem. Matematičeskie zametki, Tome 91 (2012) no. 4, pp. 522-529. http://geodesic.mathdoc.fr/item/MZM_2012_91_4_a4/