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Preprints of the Keldysh Institute of Applied Mathematics, 2018, 079, 31 pp. (Mi ipmp2440)  

This article is cited in 1 scientific paper (total in 1 paper)

Rigidity of the Hamburger and Stieltjes moment sequences

A. V. Dyachenko
Full-text PDF (561 kB) Citations (1)
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Abstract: This paper aims at finding conditions on a Hamburger or Stieltjes moment sequence, under which the change of at most a finite number of its entries produces another sequence of the same type. It turns out that a moment sequence allows all small enough variations of this kind precisely when it is indeterminate. We also show that a determinate moment sequence has the finite index of determinacy if and only if the corresponding finite number of its entries can be changed in a certain way.
Keywords: moment problems, index of determinacy.
Document Type: Preprint
UDC: 517.521.1
Language: Russian
Citation: A. V. Dyachenko, “Rigidity of the Hamburger and Stieltjes moment sequences”, Keldysh Institute preprints, 2018, 079, 31 pp.
Citation in format AMSBIB
\Bibitem{Dya18}
\by A.~V.~Dyachenko
\paper Rigidity of the Hamburger and Stieltjes moment sequences
\jour Keldysh Institute preprints
\yr 2018
\papernumber 079
\totalpages 31
\mathnet{http://mi.mathnet.ru/ipmp2440}
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  • https://www.mathnet.ru/eng/ipmp2440
  • https://www.mathnet.ru/eng/ipmp/y2018/p79
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Препринты Института прикладной математики им. М. В. Келдыша РАН
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    Abstract page:142
    Full-text PDF :87
    References:22
     
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