Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{DyuCho12}
\by Yu.~M.~Dyukarev, A.~E.~Choque Rivero
\paper The Matrix Version of Hamburger's Theorem
\jour Mat. Zametki
\yr 2012
\vol 91
\issue 4
\pages 522--529
\mathnet{http://mi.mathnet.ru/mzm8792}
\crossref{https://doi.org/10.4213/mzm8792}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3201452}
\elib{https://elibrary.ru/item.asp?id=20731512}
\transl
\jour Math. Notes
\yr 2012
\vol 91
\issue 4
\pages 493--499
\crossref{https://doi.org/10.1134/S0001434612030236}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000303478900023}
\elib{https://elibrary.ru/item.asp?id=17983932}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84860370717}
Linking options:
  • https://www.mathnet.ru/eng/mzm8792
  • https://doi.org/10.4213/mzm8792
  • https://www.mathnet.ru/eng/mzm/v91/i4/p522
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:518
    Full-text PDF :221
    References:74
    First page:26
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024