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Matematicheskie Zametki, 2012, Volume 91, Issue 4, Pages 522–529
DOI: https://doi.org/10.4213/mzm8792 (Mi mzm8792) 		 
This article is cited in 6 scientific papers (total in 6 papers)

The Matrix Version of Hamburger's Theorem

Yu. M. Dyukareva, A. E. Choque Riverob

a V. N. Karazin Kharkiv National University
b Instituto de Fisica y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo
Full-text PDF (455 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm8792
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.
Keywords: Hamburger moment problem, Stieltjes moment problem, Hermitian matrix, matrix function, block matrix.
Received: 26.12.2009
English version:
Mathematical Notes, 2012, Volume 91, Issue 4, Pages 493–499
DOI: https://doi.org/10.1134/S0001434612030236
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: Yu. M. Dyukarev, A. E. Choque Rivero, “The Matrix Version of Hamburger's Theorem”, Mat. Zametki, 91:4 (2012), 522–529; Math. Notes, 91:4 (2012), 493–499
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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