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Preprints of the Keldysh Institute of Applied Mathematics, 2018, 079, 31 pp.
(Mi ipmp2440)
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This article is cited in 1 scientific paper (total in 1 paper)
Rigidity of the Hamburger and Stieltjes moment sequences
A. V. Dyachenko
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.
Citation:
A. V. Dyachenko, “Rigidity of the Hamburger and Stieltjes moment sequences”, Keldysh Institute preprints, 2018, 079, 31 pp.
Linking options:
https://www.mathnet.ru/eng/ipmp2440 https://www.mathnet.ru/eng/ipmp/y2018/p79
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Abstract page: | 142 | Full-text PDF : | 87 | References: | 22 |
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