1. The matrix version of Hamburger's theorem.
- Author
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Dyukarev, Yu. and Choque Rivero, A.
- Subjects
- *
STIELTJES transform , *MOMENT problems (Mathematics) , *HERMITIAN operators , *HERMITIAN structures , *MATRICES (Mathematics) - Abstract
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. [ABSTRACT FROM AUTHOR]
- Published
- 2012
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