Rigidity of the Hamburger and Stieltjes moment sequences
Classical Analysis and ODEs
2017-12-05 v1
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
Cite
@article{arxiv.1712.00650,
title = {Rigidity of the Hamburger and Stieltjes moment sequences},
author = {Alexander Dyachenko},
journal= {arXiv preprint arXiv:1712.00650},
year = {2017}
}
Comments
13 pages