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Matematicheskie Zametki, 2004, Volume 75, Issue 1, Pages 71–88
DOI: https://doi.org/10.4213/mzm7 (Mi mzm7) 		 
This article is cited in 42 scientific papers (total in 42 papers)

Indeterminacy Criteria for the Stieltjes Matrix Moment Problem

Yu. M. Dyukarev

V. N. Karazin Kharkiv National University
Full-text PDF (276 kB) Citations (42)
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DOI: https://doi.org/10.4213/mzm7
Abstract: 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.
Received: 08.10.2002
Revised: 13.03.2003
English version:
Mathematical Notes, 2004, Volume 75, Issue 1, Pages 66–82
DOI: https://doi.org/10.1023/B:MATN.0000015022.02925.bd
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: Yu. M. Dyukarev, “Indeterminacy Criteria for the Stieltjes Matrix Moment Problem”, Mat. Zametki, 75:1 (2004), 71–88; Math. Notes, 75:1 (2004), 66–82
Citation in format AMSBIB
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    • This publication is cited in the following 42 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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